GCD of 420, 552, 339, 679 Calculator

Given Input numbers are 420, 552, 339, 679

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (420, 552, 339, 679) = 1.

Given numbers are 420, 552, 339, 679

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 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 339 are 3 x 113

Prime factors of 679 are 7 x 97

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

Given numbers are 420, 552, 339, 679

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

Apply this formula for all numbers.

Step1:

LCM(420, 552) = 19320

GCD(420, 552) = ( 420 x 552 ) / 19320

= 420 / 552

= 420

Step2:

LCM(12, 339) = 1356

GCD(12, 339) = ( 12 x 339 ) / 1356

= 12 / 339

= 12

Step3:

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

= 3 / 679

= 3

So, Greatest Common Divisor of 420, 552, 339, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 983, 683, 786
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• GCD of 841, 829, 976, 145

Given numbers are 420, 552, 339, 679
The greatest common divisor of numbers 420, 552, 339, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 552, 339, 679 is 1.

1. What is the GCD of 420, 552, 339, 679?

GCD of given numbers 420, 552, 339, 679 is 1

2. How to calculate the greatest common divisor of 420, 552, 339, 679?

We can find the highest common divisor of 420, 552, 339, 679 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, 552, 339, 679 i.e 1.

3. How can I use the GCD of 420, 552, 339, 679Calculator?

Out the numbers 420, 552, 339, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.