GCD of 220, 868, 776, 420 Calculator

Given Input numbers are 220, 868, 776, 420

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

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 (220, 868, 776, 420) = 4.

Given numbers are 220, 868, 776, 420

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 776 are 2 x 2 x 2 x 97

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

The highest common occurrence is 2²

Therefore, GCD of 220, 868, 776, 420 is 4.

Given numbers are 220, 868, 776, 420

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

Apply this formula for all numbers.

Step1:

LCM(220, 868) = 47740

GCD(220, 868) = ( 220 x 868 ) / 47740

= 220 / 868

= 220

Step2:

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

= 4 / 776

= 4

Step3:

LCM(4, 420) = 420

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

= 4 / 420

= 4

So, Greatest Common Divisor of 220, 868, 776, 420 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 736, 184, 154
• GCD of 441, 335, 733, 690
• GCD of 747, 241, 160, 245
• GCD of 992, 742, 125, 727
• GCD of 510, 523, 733, 705

Given numbers are 220, 868, 776, 420
The greatest common divisor of numbers 220, 868, 776, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 868, 776, 420 is 4.

1. What is the GCD of 220, 868, 776, 420?

GCD of given numbers 220, 868, 776, 420 is 4

2. How to calculate the greatest common divisor of 220, 868, 776, 420?

We can find the highest common divisor of 220, 868, 776, 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 220, 868, 776, 420 i.e 4.

3. How can I use the GCD of 220, 868, 776, 420Calculator?

Out the numbers 220, 868, 776, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.