GCD of 420, 456, 479, 548 Calculator

Given Input numbers are 420, 456, 479, 548

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 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

Divisors of 479 :

The positive integer divisors of 479 that completely divides 479 are.

1, 479

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (420, 456, 479, 548) = 1.

Given numbers are 420, 456, 479, 548

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 479 are 479

Prime factors of 548 are 2 x 2 x 137

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 456, 479, 548

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

Apply this formula for all numbers.

Step1:

LCM(420, 456) = 15960

GCD(420, 456) = ( 420 x 456 ) / 15960

= 420 / 456

= 420

Step2:

LCM(12, 479) = 5748

GCD(12, 479) = ( 12 x 479 ) / 5748

= 12 / 479

= 12

Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

So, Greatest Common Divisor of 420, 456, 479, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 528, 299, 966
• GCD of 309, 196, 328, 604
• GCD of 924, 622, 557, 631
• GCD of 643, 960, 484, 812
• GCD of 171, 753, 413, 155

Given numbers are 420, 456, 479, 548
The greatest common divisor of numbers 420, 456, 479, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 456, 479, 548 is 1.

1. What is the GCD of 420, 456, 479, 548?

GCD of given numbers 420, 456, 479, 548 is 1

2. How to calculate the greatest common divisor of 420, 456, 479, 548?

We can find the highest common divisor of 420, 456, 479, 548 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, 456, 479, 548 i.e 1.

3. How can I use the GCD of 420, 456, 479, 548Calculator?

Out the numbers 420, 456, 479, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.