GCD of 674, 272, 976, 102 Calculator

Given Input numbers are 674, 272, 976, 102

In the factoring method, we have to find the divisors of all numbers

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (674, 272, 976, 102) = 2.

Given numbers are 674, 272, 976, 102

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 674, 272, 976, 102 is 2.

Given numbers are 674, 272, 976, 102

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(674, 272) = 91664

GCD(674, 272) = ( 674 x 272 ) / 91664

= 674 / 272

= 674

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 674, 272, 976, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 530, 928, 924
• GCD of 428, 751, 349, 229
• GCD of 364, 271, 878, 217
• GCD of 434, 628, 752, 765
• GCD of 292, 192, 595, 662

Given numbers are 674, 272, 976, 102
The greatest common divisor of numbers 674, 272, 976, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 272, 976, 102 is 2.

1. What is the GCD of 674, 272, 976, 102?

GCD of given numbers 674, 272, 976, 102 is 2

2. How to calculate the greatest common divisor of 674, 272, 976, 102?

We can find the highest common divisor of 674, 272, 976, 102 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 674, 272, 976, 102 i.e 2.

3. How can I use the GCD of 674, 272, 976, 102Calculator?

Out the numbers 674, 272, 976, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.