Question

find lcm and hcf of 70 105 and 175 by prime factorization​

Answer 1

Answer:

hcf=35

LCM=1050

Step-by-step explanation:

70=2*5*7

105=3*5*7

175=5*5*7

hcf =5*7=35

lcm=5*7*2*3*5=1050

Answer 2

The HCF and LCM are 35 and 1050 respectively.

Step-by-step explanation:

Numbers : 70 , 105 and 175

To fidn HCF  

5 | 70        5 | 105       5 | 175

2 | 14         7 | 21         5 |  35

7 | 7          3 |  3          7 |  7

  |  1             |  1              | 1

$70 = 5 \times 2 \times 7$

$105 = 5 \times 7 \times 3$

$175 = 5 \times 5 \times 7$

HCF = $5 \times 7 = 35$

To Find LCM

5 | 70 , 105 , 175

5 | 14 , 21 , 35

7 |  14 , 21 , 7

2 | 2, 3 , 1

3 | 1 , 3 ,1

  | 1 ,1 ,1

LCM =$5 \times 5 \times 7 \times 2 \times 3=1050$

Hence The HCF and LCM are 35 and 1050 respectively.

#Learn more:

Find LCM and HCF of 175 and 1100 by using prime factorization method​

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