GCD of 420, 724, 902, 604 Calculator

Given Input numbers are 420, 724, 902, 604

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (420, 724, 902, 604) = 2.

Given numbers are 420, 724, 902, 604

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 724 are 2 x 2 x 181

Prime factors of 902 are 2 x 11 x 41

Prime factors of 604 are 2 x 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 420, 724, 902, 604 is 2.

Given numbers are 420, 724, 902, 604

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

Apply this formula for all numbers.

Step1:

LCM(420, 724) = 76020

GCD(420, 724) = ( 420 x 724 ) / 76020

= 420 / 724

= 420

Step2:

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

= 4 / 902

= 4

Step3:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

So, Greatest Common Divisor of 420, 724, 902, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 493, 839, 166
• GCD of 212, 844, 152, 621
• GCD of 228, 510, 498, 368
• GCD of 812, 894, 809, 843
• GCD of 704, 803, 964, 900

Given numbers are 420, 724, 902, 604
The greatest common divisor of numbers 420, 724, 902, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 724, 902, 604 is 2.

1. What is the GCD of 420, 724, 902, 604?

GCD of given numbers 420, 724, 902, 604 is 2

2. How to calculate the greatest common divisor of 420, 724, 902, 604?

We can find the highest common divisor of 420, 724, 902, 604 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, 724, 902, 604 i.e 2.

3. How can I use the GCD of 420, 724, 902, 604Calculator?

Out the numbers 420, 724, 902, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.