Find the HCF of the following number,using division method of 24,36,40
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Prime factorization of 24, 36 and 40 is given as,
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
40 = 2 × 2 × 2 × 5
LCM(24, 36) = 72, LCM(36, 40) = 360, LCM(40, 24) = 120, LCM(24, 36, 40) = 360
⇒ HCF(24, 36, 40) = [(24 × 36 × 40) × LCM(24, 36, 40)]/[LCM(24, 36) × LCM (36, 40) × LCM(40, 24)]
⇒ HCF(24, 36, 40) = (34560 × 360)/(72 × 360 × 120)
⇒ HCF(24, 36, 40) = 4.
Therefore, the HCF of 24, 36 and 40 is 4.
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