GCD of 420, 570, 980, 188 Calculator

Given Input numbers are 420, 570, 980, 188

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

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

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (420, 570, 980, 188) = 2.

Given numbers are 420, 570, 980, 188

The list of prime factors of all numbers are

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

Prime factors of 570 are 2 x 3 x 5 x 19

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

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 420, 570, 980, 188 is 2.

Given numbers are 420, 570, 980, 188

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

Apply this formula for all numbers.

Step1:

LCM(420, 570) = 7980

GCD(420, 570) = ( 420 x 570 ) / 7980

= 420 / 570

= 420

Step2:

LCM(30, 980) = 2940

GCD(30, 980) = ( 30 x 980 ) / 2940

= 30 / 980

= 30

Step3:

LCM(10, 188) = 940

GCD(10, 188) = ( 10 x 188 ) / 940

= 10 / 188

= 10

So, Greatest Common Divisor of 420, 570, 980, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 319, 179, 370
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• GCD of 872, 487, 668, 892

Given numbers are 420, 570, 980, 188
The greatest common divisor of numbers 420, 570, 980, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 570, 980, 188 is 2.

1. What is the GCD of 420, 570, 980, 188?

GCD of given numbers 420, 570, 980, 188 is 2

2. How to calculate the greatest common divisor of 420, 570, 980, 188?

We can find the highest common divisor of 420, 570, 980, 188 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 420, 570, 980, 188 i.e 2.

3. How can I use the GCD of 420, 570, 980, 188Calculator?

Out the numbers 420, 570, 980, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.