GCD of 679, 724, 231, 189 Calculator

Given Input numbers are 679, 724, 231, 189

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

Divisors of 679 :

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

1, 7, 97, 679

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (679, 724, 231, 189) = 1.

Given numbers are 679, 724, 231, 189

The list of prime factors of all numbers are

Prime factors of 679 are 7 x 97

Prime factors of 724 are 2 x 2 x 181

Prime factors of 231 are 3 x 7 x 11

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 679, 724, 231, 189

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

Apply this formula for all numbers.

Step1:

LCM(679, 724) = 491596

GCD(679, 724) = ( 679 x 724 ) / 491596

= 679 / 724

= 679

Step2:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 679, 724, 231, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 779, 312, 997
• GCD of 580, 867, 347, 175
• GCD of 284, 222, 224, 972
• GCD of 747, 883, 569, 360
• GCD of 443, 119, 562, 950

Given numbers are 679, 724, 231, 189
The greatest common divisor of numbers 679, 724, 231, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 679, 724, 231, 189 is 1.

1. What is the GCD of 679, 724, 231, 189?

GCD of given numbers 679, 724, 231, 189 is 1

2. How to calculate the greatest common divisor of 679, 724, 231, 189?

We can find the highest common divisor of 679, 724, 231, 189 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 679, 724, 231, 189 i.e 1.

3. How can I use the GCD of 679, 724, 231, 189Calculator?

Out the numbers 679, 724, 231, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.