GCD of 102, 724, 427, 720 Calculator

Given Input numbers are 102, 724, 427, 720

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (102, 724, 427, 720) = 1.

Given numbers are 102, 724, 427, 720

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 724 are 2 x 2 x 181

Prime factors of 427 are 7 x 61

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 102, 724, 427, 720

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

Apply this formula for all numbers.

Step1:

LCM(102, 724) = 36924

GCD(102, 724) = ( 102 x 724 ) / 36924

= 102 / 724

= 102

Step2:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 102, 724, 427, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 496, 189, 212
• GCD of 285, 271, 857, 585
• GCD of 652, 850, 205, 128
• GCD of 554, 267, 775, 722
• GCD of 812, 826, 576, 574

Given numbers are 102, 724, 427, 720
The greatest common divisor of numbers 102, 724, 427, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 724, 427, 720 is 1.

1. What is the GCD of 102, 724, 427, 720?

GCD of given numbers 102, 724, 427, 720 is 1

2. How to calculate the greatest common divisor of 102, 724, 427, 720?

We can find the highest common divisor of 102, 724, 427, 720 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 102, 724, 427, 720 i.e 1.

3. How can I use the GCD of 102, 724, 427, 720Calculator?

Out the numbers 102, 724, 427, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.