GCD of 724, 198, 679, 131 Calculator

Given Input numbers are 724, 198, 679, 131

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 679 :

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

1, 7, 97, 679

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (724, 198, 679, 131) = 1.

Given numbers are 724, 198, 679, 131

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 679 are 7 x 97

Prime factors of 131 are 131

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

Given numbers are 724, 198, 679, 131

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

Apply this formula for all numbers.

Step1:

LCM(724, 198) = 71676

GCD(724, 198) = ( 724 x 198 ) / 71676

= 724 / 198

= 724

Step2:

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

= 2 / 679

= 2

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 724, 198, 679, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 119, 380, 102
• GCD of 657, 112, 318, 521
• GCD of 411, 512, 428, 348
• GCD of 225, 966, 577, 937
• GCD of 677, 238, 427, 618

Given numbers are 724, 198, 679, 131
The greatest common divisor of numbers 724, 198, 679, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 198, 679, 131 is 1.

1. What is the GCD of 724, 198, 679, 131?

GCD of given numbers 724, 198, 679, 131 is 1

2. How to calculate the greatest common divisor of 724, 198, 679, 131?

We can find the highest common divisor of 724, 198, 679, 131 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 724, 198, 679, 131 i.e 1.

3. How can I use the GCD of 724, 198, 679, 131Calculator?

Out the numbers 724, 198, 679, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.