GCD of 972, 628, 544, 294 Calculator

Given Input numbers are 972, 628, 544, 294

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

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (972, 628, 544, 294) = 2.

Given numbers are 972, 628, 544, 294

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 972, 628, 544, 294 is 2.

Given numbers are 972, 628, 544, 294

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

Apply this formula for all numbers.

Step1:

LCM(972, 628) = 152604

GCD(972, 628) = ( 972 x 628 ) / 152604

= 972 / 628

= 972

Step2:

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

= 4 / 544

= 4

Step3:

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

= 4 / 294

= 4

So, Greatest Common Divisor of 972, 628, 544, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 679, 909, 991
• GCD of 156, 275, 363, 851
• GCD of 828, 740, 934, 198
• GCD of 797, 118, 243, 781
• GCD of 940, 974, 697, 414

Given numbers are 972, 628, 544, 294
The greatest common divisor of numbers 972, 628, 544, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 628, 544, 294 is 2.

1. What is the GCD of 972, 628, 544, 294?

GCD of given numbers 972, 628, 544, 294 is 2

2. How to calculate the greatest common divisor of 972, 628, 544, 294?

We can find the highest common divisor of 972, 628, 544, 294 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 972, 628, 544, 294 i.e 2.

3. How can I use the GCD of 972, 628, 544, 294Calculator?

Out the numbers 972, 628, 544, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.