GCD of 252, 723, 772, 678 Calculator

Given Input numbers are 252, 723, 772, 678

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (252, 723, 772, 678) = 1.

Given numbers are 252, 723, 772, 678

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 723 are 3 x 241

Prime factors of 772 are 2 x 2 x 193

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 252, 723, 772, 678

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

Apply this formula for all numbers.

Step1:

LCM(252, 723) = 60732

GCD(252, 723) = ( 252 x 723 ) / 60732

= 252 / 723

= 252

Step2:

LCM(3, 772) = 2316

GCD(3, 772) = ( 3 x 772 ) / 2316

= 3 / 772

= 3

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 252, 723, 772, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 897, 477, 770
• GCD of 754, 611, 858, 275
• GCD of 557, 431, 169, 107
• GCD of 362, 871, 111, 576
• GCD of 214, 640, 940, 823

Given numbers are 252, 723, 772, 678
The greatest common divisor of numbers 252, 723, 772, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 723, 772, 678 is 1.

1. What is the GCD of 252, 723, 772, 678?

GCD of given numbers 252, 723, 772, 678 is 1

2. How to calculate the greatest common divisor of 252, 723, 772, 678?

We can find the highest common divisor of 252, 723, 772, 678 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 252, 723, 772, 678 i.e 1.

3. How can I use the GCD of 252, 723, 772, 678Calculator?

Out the numbers 252, 723, 772, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.