GCD of 638, 968, 558, 674 Calculator

Given Input numbers are 638, 968, 558, 674

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 674 :

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

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (638, 968, 558, 674) = 2.

Given numbers are 638, 968, 558, 674

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 638, 968, 558, 674 is 2.

Given numbers are 638, 968, 558, 674

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

Apply this formula for all numbers.

Step1:

LCM(638, 968) = 28072

GCD(638, 968) = ( 638 x 968 ) / 28072

= 638 / 968

= 638

Step2:

LCM(22, 558) = 6138

GCD(22, 558) = ( 22 x 558 ) / 6138

= 22 / 558

= 22

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 638, 968, 558, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 770, 725, 923
• GCD of 879, 923, 698, 190
• GCD of 972, 689, 847, 961
• GCD of 638, 670, 321, 478
• GCD of 557, 115, 650, 774

Given numbers are 638, 968, 558, 674
The greatest common divisor of numbers 638, 968, 558, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 968, 558, 674 is 2.

1. What is the GCD of 638, 968, 558, 674?

GCD of given numbers 638, 968, 558, 674 is 2

2. How to calculate the greatest common divisor of 638, 968, 558, 674?

We can find the highest common divisor of 638, 968, 558, 674 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 638, 968, 558, 674 i.e 2.

3. How can I use the GCD of 638, 968, 558, 674Calculator?

Out the numbers 638, 968, 558, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.