GCD of 725, 810, 656, 980 Calculator

Given Input numbers are 725, 810, 656, 980

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 810, 656, 980) = 1.

Given numbers are 725, 810, 656, 980

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 725, 810, 656, 980

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

Apply this formula for all numbers.

Step1:

LCM(725, 810) = 117450

GCD(725, 810) = ( 725 x 810 ) / 117450

= 725 / 810

= 725

Step2:

LCM(5, 656) = 3280

GCD(5, 656) = ( 5 x 656 ) / 3280

= 5 / 656

= 5

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 725, 810, 656, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 171, 981, 624
• GCD of 644, 501, 640, 895
• GCD of 219, 475, 694, 469
• GCD of 770, 127, 462, 871
• GCD of 233, 520, 351, 591

Given numbers are 725, 810, 656, 980
The greatest common divisor of numbers 725, 810, 656, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 810, 656, 980 is 1.

1. What is the GCD of 725, 810, 656, 980?

GCD of given numbers 725, 810, 656, 980 is 1

2. How to calculate the greatest common divisor of 725, 810, 656, 980?

We can find the highest common divisor of 725, 810, 656, 980 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 725, 810, 656, 980 i.e 1.

3. How can I use the GCD of 725, 810, 656, 980Calculator?

Out the numbers 725, 810, 656, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.