Question
Download Solution PDFतीन संख्या 2 ∶ 3 ∶ 5 च्या प्रमाणात आहेत आणि त्यांचा LCM 90 आहे. त्यांचा HCF शोधा.
Answer (Detailed Solution Below)
Detailed Solution
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संख्या 2 : 3 : 5 च्या प्रमाणात आहेत
संख्यांचा LCM = 90
गणना:
संख्या 2x, 3x आणि 5x असू द्या.
(2x, 3x आणि 5x) = 2 × 3 × 5 × (x) चा LCM
⇒ ३०x
प्रश्नानुसार, 30x = 90
⇒ x = 90/30
⇒ x = 3
तर, संख्या 6, 9, 15 आहेत
आता,
6 = 2 × 3
9 = 3 2
१५ = ३ × ५
तर, HCF = 3
∴ तीन संख्यांचा HCF 3 आहे.
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