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GCD of 948, 272, 216, 572 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 948, 272, 216, 572 quickly. Get the easiest ways to solve the greatest common divisor of 948, 272, 216, 572 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 272, 216, 572 with Factoring?

Given Input numbers are 948, 272, 216, 572

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572


GCD of numbers is the greatest common divisor

So, the GCD (948, 272, 216, 572) = 4.

Find GCD of 948, 272, 216, 572 using Prime Factorization

Given numbers are 948, 272, 216, 572

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 22

Therefore, GCD of 948, 272, 216, 572 is 4.

Steps to Calculate GCD of 948, 272, 216, 572 using LCM Formula

Given numbers are 948, 272, 216, 572

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

Apply this formula for all numbers.

Step1:

LCM(948, 272) = 64464

GCD(948, 272) = ( 948 x 272 ) / 64464

= 948 / 272

= 948


Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4


Step3:

LCM(4, 572) = 572

GCD(4, 572) = ( 4 x 572 ) / 572

= 4 / 572

= 4


So, Greatest Common Divisor of 948, 272, 216, 572 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 272, 216, 572

Given numbers are 948, 272, 216, 572
The greatest common divisor of numbers 948, 272, 216, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 272, 216, 572 is 4.

FAQs on GCD of 948, 272, 216, 572 Calculator

1. What is the GCD of 948, 272, 216, 572?

GCD of given numbers 948, 272, 216, 572 is 4


2. How to calculate the greatest common divisor of 948, 272, 216, 572?

We can find the highest common divisor of 948, 272, 216, 572 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 948, 272, 216, 572 i.e 4.


3. How can I use the GCD of 948, 272, 216, 572Calculator?

Out the numbers 948, 272, 216, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.