GCD of 624, 312, 269, 972 Calculator

Given Input numbers are 624, 312, 269, 972

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (624, 312, 269, 972) = 1.

Given numbers are 624, 312, 269, 972

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 269 are 269

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 624, 312, 269, 972

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

Apply this formula for all numbers.

Step1:

LCM(624, 312) = 624

GCD(624, 312) = ( 624 x 312 ) / 624

= 624 / 312

= 624

Step2:

LCM(312, 269) = 83928

GCD(312, 269) = ( 312 x 269 ) / 83928

= 312 / 269

= 312

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 624, 312, 269, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 629, 477, 946
• GCD of 388, 345, 289, 718
• GCD of 147, 222, 966, 954
• GCD of 684, 281, 235, 544
• GCD of 105, 448, 703, 558

Given numbers are 624, 312, 269, 972
The greatest common divisor of numbers 624, 312, 269, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 312, 269, 972 is 1.

1. What is the GCD of 624, 312, 269, 972?

GCD of given numbers 624, 312, 269, 972 is 1

2. How to calculate the greatest common divisor of 624, 312, 269, 972?

We can find the highest common divisor of 624, 312, 269, 972 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 624, 312, 269, 972 i.e 1.

3. How can I use the GCD of 624, 312, 269, 972Calculator?

Out the numbers 624, 312, 269, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.