GCD of 108, 974, 710, 702 Calculator

Given Input numbers are 108, 974, 710, 702

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 974 :

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

1, 2, 487, 974

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (108, 974, 710, 702) = 2.

Given numbers are 108, 974, 710, 702

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 974 are 2 x 487

Prime factors of 710 are 2 x 5 x 71

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 108, 974, 710, 702 is 2.

Given numbers are 108, 974, 710, 702

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

Apply this formula for all numbers.

Step1:

LCM(108, 974) = 52596

GCD(108, 974) = ( 108 x 974 ) / 52596

= 108 / 974

= 108

Step2:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 108, 974, 710, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 539, 938, 440
• GCD of 139, 395, 338, 896
• GCD of 103, 970, 362, 416
• GCD of 494, 448, 858, 439
• GCD of 567, 350, 941, 972

Given numbers are 108, 974, 710, 702
The greatest common divisor of numbers 108, 974, 710, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 974, 710, 702 is 2.

1. What is the GCD of 108, 974, 710, 702?

GCD of given numbers 108, 974, 710, 702 is 2

2. How to calculate the greatest common divisor of 108, 974, 710, 702?

We can find the highest common divisor of 108, 974, 710, 702 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, 974, 710, 702 i.e 2.

3. How can I use the GCD of 108, 974, 710, 702Calculator?

Out the numbers 108, 974, 710, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.