GCD of 952, 494, 272, 972 Calculator

Given Input numbers are 952, 494, 272, 972

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

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

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 (952, 494, 272, 972) = 2.

Given numbers are 952, 494, 272, 972

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 494 are 2 x 13 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 952, 494, 272, 972 is 2.

Given numbers are 952, 494, 272, 972

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

Apply this formula for all numbers.

Step1:

LCM(952, 494) = 235144

GCD(952, 494) = ( 952 x 494 ) / 235144

= 952 / 494

= 952

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 952, 494, 272, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 951, 643, 878
• GCD of 938, 868, 895, 198
• GCD of 936, 722, 860, 200
• GCD of 214, 733, 788, 913
• GCD of 857, 763, 104, 274

Given numbers are 952, 494, 272, 972
The greatest common divisor of numbers 952, 494, 272, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 494, 272, 972 is 2.

1. What is the GCD of 952, 494, 272, 972?

GCD of given numbers 952, 494, 272, 972 is 2

2. How to calculate the greatest common divisor of 952, 494, 272, 972?

We can find the highest common divisor of 952, 494, 272, 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 952, 494, 272, 972 i.e 2.

3. How can I use the GCD of 952, 494, 272, 972Calculator?

Out the numbers 952, 494, 272, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.