GCD of 279, 674, 109, 420 Calculator

Given Input numbers are 279, 674, 109, 420

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 (279, 674, 109, 420) = 1.

Given numbers are 279, 674, 109, 420

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 674 are 2 x 337

Prime factors of 109 are 109

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

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

Given numbers are 279, 674, 109, 420

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

Apply this formula for all numbers.

Step1:

LCM(279, 674) = 188046

GCD(279, 674) = ( 279 x 674 ) / 188046

= 279 / 674

= 279

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 279, 674, 109, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 261, 203, 767
• GCD of 723, 976, 174, 337
• GCD of 640, 558, 609, 996
• GCD of 321, 629, 158, 843
• GCD of 267, 462, 110, 224

Given numbers are 279, 674, 109, 420
The greatest common divisor of numbers 279, 674, 109, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 674, 109, 420 is 1.

1. What is the GCD of 279, 674, 109, 420?

GCD of given numbers 279, 674, 109, 420 is 1

2. How to calculate the greatest common divisor of 279, 674, 109, 420?

We can find the highest common divisor of 279, 674, 109, 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 279, 674, 109, 420 i.e 1.

3. How can I use the GCD of 279, 674, 109, 420Calculator?

Out the numbers 279, 674, 109, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.