GCD of 272, 952, 726, 972 Calculator

Given Input numbers are 272, 952, 726, 972

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

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 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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 (272, 952, 726, 972) = 2.

Given numbers are 272, 952, 726, 972

The list of prime factors of all numbers are

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

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

Prime factors of 726 are 2 x 3 x 11 x 11

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 272, 952, 726, 972 is 2.

Given numbers are 272, 952, 726, 972

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

Apply this formula for all numbers.

Step1:

LCM(272, 952) = 1904

GCD(272, 952) = ( 272 x 952 ) / 1904

= 272 / 952

= 272

Step2:

LCM(136, 726) = 49368

GCD(136, 726) = ( 136 x 726 ) / 49368

= 136 / 726

= 136

Step3:

LCM(2, 972) = 972

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

= 2 / 972

= 2

So, Greatest Common Divisor of 272, 952, 726, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 210, 194, 346
• GCD of 748, 194, 108, 524
• GCD of 777, 796, 164, 281
• GCD of 617, 218, 803, 687
• GCD of 402, 549, 297, 769

Given numbers are 272, 952, 726, 972
The greatest common divisor of numbers 272, 952, 726, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 952, 726, 972 is 2.

1. What is the GCD of 272, 952, 726, 972?

GCD of given numbers 272, 952, 726, 972 is 2

2. How to calculate the greatest common divisor of 272, 952, 726, 972?

We can find the highest common divisor of 272, 952, 726, 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 272, 952, 726, 972 i.e 2.

3. How can I use the GCD of 272, 952, 726, 972Calculator?

Out the numbers 272, 952, 726, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.