GCD of 297, 372, 492, 972 Calculator

Given Input numbers are 297, 372, 492, 972

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 (297, 372, 492, 972) = 3.

Given numbers are 297, 372, 492, 972

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 492 are 2 x 2 x 3 x 41

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

The highest common occurrence is 3¹

Therefore, GCD of 297, 372, 492, 972 is 3.

Given numbers are 297, 372, 492, 972

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

Apply this formula for all numbers.

Step1:

LCM(297, 372) = 36828

GCD(297, 372) = ( 297 x 372 ) / 36828

= 297 / 372

= 297

Step2:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 297, 372, 492, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 990, 850, 542
• GCD of 761, 545, 303, 641
• GCD of 653, 208, 175, 901
• GCD of 558, 434, 124, 159
• GCD of 108, 728, 302, 353

Given numbers are 297, 372, 492, 972
The greatest common divisor of numbers 297, 372, 492, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 372, 492, 972 is 3.

1. What is the GCD of 297, 372, 492, 972?

GCD of given numbers 297, 372, 492, 972 is 3

2. How to calculate the greatest common divisor of 297, 372, 492, 972?

We can find the highest common divisor of 297, 372, 492, 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 297, 372, 492, 972 i.e 3.

3. How can I use the GCD of 297, 372, 492, 972Calculator?

Out the numbers 297, 372, 492, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.