LCM and HCF
-  Find the HCF of 4/5 and 7/15?
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                        View Hint View Answer Discuss in Forum HCF of fractions = (HCF of numerators) / (LCM of denominators) Correct Option: CWe know that, 
 HCF of fractions = (HCF of numerators) / (LCM of denominators)
 ∴ Required HCF = (HCF of 4 and 7) / (LCM of 5 and 15)
 =1/15
-  Consider the number between 300 and 400 which when divided by 12, 18 and 36 leaves 4 as remainder in each case. what is the sum of the number ?
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                        View Hint View Answer Discuss in Forum LCM of (12,18, 36) = 36 
 ∴ A number greater than 300 on dividing by 36 leaves a remainder 4 = (36 x 9) + 4 = 328
 Next numbe r = 328 + 36 = 364Correct Option: BLCM of (12,18, 36) = 36 
 ∴ A number greater than 300 on dividing by 36 leaves a remainder 4 = (36 x 9) + 4 = 328
 Next numbe r = 328 + 36 = 364
 ∴ Sum of number = 328 + 364 = 692
-  Find the HCF of 132, 204 and 228.
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                        View Hint View Answer Discuss in Forum 132 = 2 x 2 x 3 x 11 
 240 = 2 x 2 x 2 x 2 x 3 x 5
 228 = 2 x 2 x 3 x 19Correct Option: A132 = 2 x 2 x 3 x 11 
 240 = 2 x 2 x 2 x 2 x 3 x 5
 228 = 2 x 2 x 3 x 19
 Hence, HCF of 132, 204 and 228 = 2 x 2 x 3 = 12
-  What is the greatest number which divides 390, 480 and 620 so as to leave the same remainder in each case ?
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                        View Hint View Answer Discuss in Forum The HCF of [(480 - 390), (620 - 480), (620 - 390)] Correct Option: BThe HCF of [(480 - 390), (620 - 480), (620 - 390)] 
 = HCF of 90, 140, 230 = 10
-  Find the HCF of 1/2, 3/4, and 4/5?
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                        View Hint View Answer Discuss in Forum Required HCF = (HCF of numerators) / (LCM of denominators) Correct Option: ARequired HCF = (HCF of numerators) / (LCM of denominators) 
 = (HCF of 1, 3 and 4) / (LCM of 2, 4, and 5)
 = 1/20
 
	