GCD of 436, 980, 656, 420 Calculator

Given Input numbers are 436, 980, 656, 420

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

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 656 :

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

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

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 (436, 980, 656, 420) = 4.

Given numbers are 436, 980, 656, 420

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

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

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

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

The highest common occurrence is 2²

Therefore, GCD of 436, 980, 656, 420 is 4.

Given numbers are 436, 980, 656, 420

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

Apply this formula for all numbers.

Step1:

LCM(436, 980) = 106820

GCD(436, 980) = ( 436 x 980 ) / 106820

= 436 / 980

= 436

Step2:

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

= 4 / 656

= 4

Step3:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4

So, Greatest Common Divisor of 436, 980, 656, 420 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 902, 767, 219
• GCD of 642, 123, 124, 269
• GCD of 237, 937, 983, 453
• GCD of 124, 528, 919, 921
• GCD of 511, 406, 361, 604

Given numbers are 436, 980, 656, 420
The greatest common divisor of numbers 436, 980, 656, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 980, 656, 420 is 4.

1. What is the GCD of 436, 980, 656, 420?

GCD of given numbers 436, 980, 656, 420 is 4

2. How to calculate the greatest common divisor of 436, 980, 656, 420?

We can find the highest common divisor of 436, 980, 656, 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 436, 980, 656, 420 i.e 4.

3. How can I use the GCD of 436, 980, 656, 420Calculator?

Out the numbers 436, 980, 656, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.