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HCF of 1 and 2 - Methods and Solved Example

Last Updated on Jun 13, 2024

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When we talk about the Highest Common Factor (HCF) of 1 and 2, it is 1. The HCF is the largest number that can perfectly divide both numbers without leaving any remainder. For the numbers 1 and 2, the factors are 1 for the number 1 and 1 and 2 for the number 2.

Also read: Understanding Highest Common Factor

Determining the HCF of 1 and 2
The HCF of 1 and 2 is 1. This article will guide you through different methods to compute the HCF of 1 and 2. The HCF is the greatest common factor between two or more numbers.

Methods to Compute HCF of 1 and 2
The HCF of 1 and 2 can be found using three methods:

Prime Factorisation

Long Division method

Listing common factors

Using Prime Factorisation Method to Find HCF of 1 and 2

The prime factorisation of 1 and 2 is as follows:

Prime factorisation of 1 = 1

Prime factorisation of 2 = 2

So, the HCF of 1 and 2 is 1.

Therefore, HCF (1, 2) = 1

Using Long Division Method to Find HCF of 1 and 2

The HCF of 1 and 2 is the divisor that we get when the remainder is 0 after performing repeated long division.

No further division is possible.

Therefore, HCF (1, 2) = 1

Finding HCF of 1 and 2 by Listing Common Factors

To find the HCF of 1 and 2 by listing common factors, list the factors as shown below:

Factor of 1: 1

Factors of 2: 1, 2

Since 1 is the only common factor between 1 and 2, the Highest Common Factor of 1 and 2 is 1.

Example of HCF of 1 and 2
Let's say we want to find the highest number that can exactly divide 1 and 2.
The solution would be to find the Highest Common Factor (HCF) of 1 and 2.
The factors of 1 and 2 are:
Factors of 1 = 1
Factors of 2 = 1, 2
Hence, the HCF of 1 and 2 is 1.

Frequently Asked Questions

What is the HCF of 1 and 2?

The HCF of 1 and 2 is 1. To calculate the Highest Common Factor (HCF) of 1 and 2, we need to factor each number (factor of 1 = 1; factors of 2 = 1, 2) and choose the highest factor that exactly divides both 1 and 2 .i.e 1.

How to find the HCF of 1 and 2 by long division method?

To find the HCF of 1 and 2 using the long division method, 2 is divided by 1. The corresponding divisor (1) when remainder equals 0 is the HCF.

If the HCF of 2 and 1 is 1, find its LCM.

HCF(2, 1) × LCM(2, 1) = 2 × 1. The HCF of 2 and 1 = 1. Therefore, LCM = 2.

What is the relation between LCM and HCF of 1 and 2?

The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF (Highest Common Factor) of 1 and 2 .i.e HCF × LCM = 1 × 2.

What are the methods to find the HCF of 1 and 2?

There are three commonly used methods to find the HCF of 1 and 2. They are: Long Division, Listing Common Factors, Prime Factorisation.

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