GCD of 108, 124, 598, 974 Calculator

Given Input numbers are 108, 124, 598, 974

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (108, 124, 598, 974) = 2.

Given numbers are 108, 124, 598, 974

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 124 are 2 x 2 x 31

Prime factors of 598 are 2 x 13 x 23

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 108, 124, 598, 974 is 2.

Given numbers are 108, 124, 598, 974

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

Apply this formula for all numbers.

Step1:

LCM(108, 124) = 3348

GCD(108, 124) = ( 108 x 124 ) / 3348

= 108 / 124

= 108

Step2:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 108, 124, 598, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 650, 218, 960
• GCD of 570, 609, 836, 569
• GCD of 731, 357, 607, 238
• GCD of 717, 485, 888, 258
• GCD of 207, 862, 761, 313

Given numbers are 108, 124, 598, 974
The greatest common divisor of numbers 108, 124, 598, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 124, 598, 974 is 2.

1. What is the GCD of 108, 124, 598, 974?

GCD of given numbers 108, 124, 598, 974 is 2

2. How to calculate the greatest common divisor of 108, 124, 598, 974?

We can find the highest common divisor of 108, 124, 598, 974 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 108, 124, 598, 974 i.e 2.

3. How can I use the GCD of 108, 124, 598, 974Calculator?

Out the numbers 108, 124, 598, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.