GCD of 420, 484, 140, 456 Calculator

Given Input numbers are 420, 484, 140, 456

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (420, 484, 140, 456) = 4.

Given numbers are 420, 484, 140, 456

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 484 are 2 x 2 x 11 x 11

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 420, 484, 140, 456 is 4.

Given numbers are 420, 484, 140, 456

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

Apply this formula for all numbers.

Step1:

LCM(420, 484) = 50820

GCD(420, 484) = ( 420 x 484 ) / 50820

= 420 / 484

= 420

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

So, Greatest Common Divisor of 420, 484, 140, 456 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 707, 907, 958
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Given numbers are 420, 484, 140, 456
The greatest common divisor of numbers 420, 484, 140, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 484, 140, 456 is 4.

1. What is the GCD of 420, 484, 140, 456?

GCD of given numbers 420, 484, 140, 456 is 4

2. How to calculate the greatest common divisor of 420, 484, 140, 456?

We can find the highest common divisor of 420, 484, 140, 456 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, 484, 140, 456 i.e 4.

3. How can I use the GCD of 420, 484, 140, 456Calculator?

Out the numbers 420, 484, 140, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.