Question

find the hcf 76,114,190​

Answer 1

Step-by-step explanation:

step by step explanation

factors of 76:1,2,4,19,38,76

factors of 114:1,2,3,6,19,38,57,114

factors of 190:1,2,5,10,19,38,95,190

so the highest common factor is 38

Answer 2

Answer:

GCF = 21. 191 = 38

Step-by-step explanation:

1. Decompose all numbers into prime factors

76 2 38 2 19 19 1 114 2 57 3 19 19 1 190 2 95 5 19 19 1

2. Write all numbers as the product of its prime factors

Prime factors of 76 = 22 . 19

Prime factors of 114 = 2 . 3 . 19

Prime factors of 190 = 2 . 5 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 19

Common prime factors with the lowest exponent: 21, 191

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 21. 191 = 38