GCD of 716, 724, 872, 102 Calculator

Given Input numbers are 716, 724, 872, 102

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 872 :

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

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

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 (716, 724, 872, 102) = 2.

Given numbers are 716, 724, 872, 102

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 716, 724, 872, 102 is 2.

Given numbers are 716, 724, 872, 102

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

Apply this formula for all numbers.

Step1:

LCM(716, 724) = 129596

GCD(716, 724) = ( 716 x 724 ) / 129596

= 716 / 724

= 716

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 716, 724, 872, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 935, 945, 118
• GCD of 334, 155, 444, 133
• GCD of 201, 973, 284, 454
• GCD of 299, 943, 109, 548
• GCD of 738, 397, 596, 545

Given numbers are 716, 724, 872, 102
The greatest common divisor of numbers 716, 724, 872, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 724, 872, 102 is 2.

1. What is the GCD of 716, 724, 872, 102?

GCD of given numbers 716, 724, 872, 102 is 2

2. How to calculate the greatest common divisor of 716, 724, 872, 102?

We can find the highest common divisor of 716, 724, 872, 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 716, 724, 872, 102 i.e 2.

3. How can I use the GCD of 716, 724, 872, 102Calculator?

Out the numbers 716, 724, 872, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.