GCD of 674, 966, 872, 628 Calculator

Given Input numbers are 674, 966, 872, 628

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (674, 966, 872, 628) = 2.

Given numbers are 674, 966, 872, 628

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 674, 966, 872, 628 is 2.

Given numbers are 674, 966, 872, 628

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

Apply this formula for all numbers.

Step1:

LCM(674, 966) = 325542

GCD(674, 966) = ( 674 x 966 ) / 325542

= 674 / 966

= 674

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

So, Greatest Common Divisor of 674, 966, 872, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 276, 682, 162
• GCD of 664, 385, 385, 393
• GCD of 352, 344, 526, 467
• GCD of 598, 119, 691, 208
• GCD of 400, 710, 565, 265

Given numbers are 674, 966, 872, 628
The greatest common divisor of numbers 674, 966, 872, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 966, 872, 628 is 2.

1. What is the GCD of 674, 966, 872, 628?

GCD of given numbers 674, 966, 872, 628 is 2

2. How to calculate the greatest common divisor of 674, 966, 872, 628?

We can find the highest common divisor of 674, 966, 872, 628 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, 966, 872, 628 i.e 2.

3. How can I use the GCD of 674, 966, 872, 628Calculator?

Out the numbers 674, 966, 872, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.