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GCD of 273, 952, 595, 973 Calculator

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


Online GCD Calculator is useful to find the GCD of 273, 952, 595, 973 quickly. Get the easiest ways to solve the greatest common divisor of 273, 952, 595, 973 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 273, 952, 595, 973 with Factoring?

Given Input numbers are 273, 952, 595, 973

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973


GCD of numbers is the greatest common divisor

So, the GCD (273, 952, 595, 973) = 7.

Find GCD of 273, 952, 595, 973 using Prime Factorization

Given numbers are 273, 952, 595, 973

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

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

Prime factors of 595 are 5 x 7 x 17

Prime factors of 973 are 7 x 139

The highest common occurrence is 71

Therefore, GCD of 273, 952, 595, 973 is 7.

Steps to Calculate GCD of 273, 952, 595, 973 using LCM Formula

Given numbers are 273, 952, 595, 973

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

Apply this formula for all numbers.

Step1:

LCM(273, 952) = 37128

GCD(273, 952) = ( 273 x 952 ) / 37128

= 273 / 952

= 273


Step2:

LCM(7, 595) = 595

GCD(7, 595) = ( 7 x 595 ) / 595

= 7 / 595

= 7


Step3:

LCM(7, 973) = 973

GCD(7, 973) = ( 7 x 973 ) / 973

= 7 / 973

= 7


So, Greatest Common Divisor of 273, 952, 595, 973 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 273, 952, 595, 973

Given numbers are 273, 952, 595, 973
The greatest common divisor of numbers 273, 952, 595, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 952, 595, 973 is 7.

FAQs on GCD of 273, 952, 595, 973 Calculator

1. What is the GCD of 273, 952, 595, 973?

GCD of given numbers 273, 952, 595, 973 is 7


2. How to calculate the greatest common divisor of 273, 952, 595, 973?

We can find the highest common divisor of 273, 952, 595, 973 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 273, 952, 595, 973 i.e 7.


3. How can I use the GCD of 273, 952, 595, 973Calculator?

Out the numbers 273, 952, 595, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.