GCD of 718, 980, 790, 504 Calculator

Given Input numbers are 718, 980, 790, 504

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (718, 980, 790, 504) = 2.

Given numbers are 718, 980, 790, 504

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 790 are 2 x 5 x 79

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 718, 980, 790, 504 is 2.

Given numbers are 718, 980, 790, 504

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

Apply this formula for all numbers.

Step1:

LCM(718, 980) = 351820

GCD(718, 980) = ( 718 x 980 ) / 351820

= 718 / 980

= 718

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 718, 980, 790, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 824, 603, 939
• GCD of 720, 123, 584, 611
• GCD of 664, 958, 590, 240
• GCD of 511, 679, 538, 775
• GCD of 956, 267, 567, 908

Given numbers are 718, 980, 790, 504
The greatest common divisor of numbers 718, 980, 790, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 980, 790, 504 is 2.

1. What is the GCD of 718, 980, 790, 504?

GCD of given numbers 718, 980, 790, 504 is 2

2. How to calculate the greatest common divisor of 718, 980, 790, 504?

We can find the highest common divisor of 718, 980, 790, 504 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 718, 980, 790, 504 i.e 2.

3. How can I use the GCD of 718, 980, 790, 504Calculator?

Out the numbers 718, 980, 790, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.