Math, asked by shreekar03, 1 year ago

HCF and LCM of 1680 & 1056​

Answers

Answered by LovelyG
4

Answer :

1680 = 1056 * 1 + 624

1056 = 624 * 1 + 432

624 = 432 * 1 + 192

432 = 192 * 2 + 48

192 = 48 * 4 + 0

Hence, the HCF is 48.

Now, we know that ;

HCF * LCM = Product of numbers

⇒ 48 * LCM = 1680 * 1056

⇒ LCM = 1680 * 1056 / 48

⇒ LCM = 35 * 1056

⇒ LCM = 36960

Hence, the LCM is 36960.

Answered by purbeyshubham
4

2|1680. 2|1056

2| 840. 2| 528

2| 420. 2| 264

2| 210. 2| 132

2| 105. 2| 66

3| 35. 2| 33

5| 7. 3| 11

7| 1. 11| 1

1680=2×2×2×2×2×3×5×7=2^5×3×5×7

1056=2×2×2×2×2×2×3×11=2^6×3×11

HCF = 2^5×3=32×3=96

LCM = 2^6×3×5×7×11=

dundh le

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