Question

find common factors of 75,60 & 210​

Answer 1

Answer:

1

3

5

15

Step-by-step explanation:

Factors of 75 are 1, 3, 5, 15, 25 and 75. Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 30 and 60. Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210

Answer 2

Given : 75 60 and 210

To Find :  common factor  

Solution:

One way is to find factors of all these numbers and then find common in all three,

Another method is to find HCF of these numbers and then find factors of HCF

75 = 3 * 5 * 5

60 = 2 * 2 * 3 * 5

210 = 2 * 3 * 5 * 7

HCF  =  3 * 5  =  15

Factor of 15 are  

1 , 3 , 5 and 15

Hence  common factor of 75 60 and 210

are 1 , 3 , 5 and 15

Another method

Factor of  75  =  1 , 3 , 5 , 15 , 25 , 75

Factor of  60 = 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 30 , 60

Factor of 210 = 1  , 2 ,  3 , 5 , 6 , 7 , 10 , 14 , 15 , 21 ,  30 , 35 , 42 , 70 , 105 , 210

Common are =  1 , 3 , 5 , 15

Hence  common factor of 75 60 and 210

are 1 , 3 , 5 and 15

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