Question
Download Solution PDFतीन संख्या 1 ∶ 2 ∶ 5 या प्रमाणात आहेत आणि त्यांचा LCM 1600 आहे. संख्यांचा HCF शोधा.
Answer (Detailed Solution Below)
Detailed Solution
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संख्या 1 : 2 : 5 च्या प्रमाणात आहेत
संख्यांची LCM = 1600
गणना:
संख्या 1x, 2x आणि 5x असू द्या.
(1x, 2x आणि 5x) = 1 × 2 × 5 × (x) चा LCM
⇒ 10x
प्रश्नानुसार, 10x = 1600
⇒ x = १६००/१०
⇒ x = 160
तर, संख्या 160, 320, 800 आहे
आता,
160 = 2 5 × 5
३२० = २ ६ × ५
८०० = २ ५ × ५ २
तर, HCF = 2 5 × 5 = 160
∴ तीन संख्यांचा HCF 160 आहे.
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