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GCD of 532, 924, 952, 548 Calculator

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


Online GCD Calculator is useful to find the GCD of 532, 924, 952, 548 quickly. Get the easiest ways to solve the greatest common divisor of 532, 924, 952, 548 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 532, 924, 952, 548 with Factoring?

Given Input numbers are 532, 924, 952, 548

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548


GCD of numbers is the greatest common divisor

So, the GCD (532, 924, 952, 548) = 4.

Find GCD of 532, 924, 952, 548 using Prime Factorization

Given numbers are 532, 924, 952, 548

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 22

Therefore, GCD of 532, 924, 952, 548 is 4.

Steps to Calculate GCD of 532, 924, 952, 548 using LCM Formula

Given numbers are 532, 924, 952, 548

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

Apply this formula for all numbers.

Step1:

LCM(532, 924) = 17556

GCD(532, 924) = ( 532 x 924 ) / 17556

= 532 / 924

= 532


Step2:

LCM(28, 952) = 952

GCD(28, 952) = ( 28 x 952 ) / 952

= 28 / 952

= 28


Step3:

LCM(28, 548) = 3836

GCD(28, 548) = ( 28 x 548 ) / 3836

= 28 / 548

= 28


So, Greatest Common Divisor of 532, 924, 952, 548 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 532, 924, 952, 548

Given numbers are 532, 924, 952, 548
The greatest common divisor of numbers 532, 924, 952, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 924, 952, 548 is 4.

FAQs on GCD of 532, 924, 952, 548 Calculator

1. What is the GCD of 532, 924, 952, 548?

GCD of given numbers 532, 924, 952, 548 is 4


2. How to calculate the greatest common divisor of 532, 924, 952, 548?

We can find the highest common divisor of 532, 924, 952, 548 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 532, 924, 952, 548 i.e 4.


3. How can I use the GCD of 532, 924, 952, 548Calculator?

Out the numbers 532, 924, 952, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.