GCD of 980, 975, 556, 420 Calculator

Given Input numbers are 980, 975, 556, 420

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

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (980, 975, 556, 420) = 1.

Given numbers are 980, 975, 556, 420

The list of prime factors of all numbers are

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 556 are 2 x 2 x 139

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 980, 975, 556, 420

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

Apply this formula for all numbers.

Step1:

LCM(980, 975) = 191100

GCD(980, 975) = ( 980 x 975 ) / 191100

= 980 / 975

= 980

Step2:

LCM(5, 556) = 2780

GCD(5, 556) = ( 5 x 556 ) / 2780

= 5 / 556

= 5

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 980, 975, 556, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 691, 179, 808
• GCD of 503, 222, 712, 429
• GCD of 757, 896, 724, 540
• GCD of 257, 702, 558, 450
• GCD of 625, 886, 130, 587

Given numbers are 980, 975, 556, 420
The greatest common divisor of numbers 980, 975, 556, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 975, 556, 420 is 1.

1. What is the GCD of 980, 975, 556, 420?

GCD of given numbers 980, 975, 556, 420 is 1

2. How to calculate the greatest common divisor of 980, 975, 556, 420?

We can find the highest common divisor of 980, 975, 556, 420 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 980, 975, 556, 420 i.e 1.

3. How can I use the GCD of 980, 975, 556, 420Calculator?

Out the numbers 980, 975, 556, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.