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GCD of 740, 264, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 740, 264, 272 quickly. Get the easiest ways to solve the greatest common divisor of 740, 264, 272 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 264, 272 with Factoring?

Given Input numbers are 740, 264, 272

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 272 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (740, 264, 272) = 4.

Find GCD of 740, 264, 272 using Prime Factorization

Given numbers are 740, 264, 272

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 22

Therefore, GCD of 740, 264, 272 is 4.

Steps to Calculate GCD of 740, 264, 272 using LCM Formula

Given numbers are 740, 264, 272

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

Apply this formula for all numbers.

Step1:

LCM(740, 264) = 48840

GCD(740, 264) = ( 740 x 264 ) / 48840

= 740 / 264

= 740


Step2:

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

= 4 / 272

= 4


So, Greatest Common Divisor of 740, 264, 272 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 740, 264, 272

Given numbers are 740, 264, 272
The greatest common divisor of numbers 740, 264, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 264, 272 is 4.

FAQs on GCD of 740, 264, 272 Calculator

1. What is the GCD of 740, 264, 272?

GCD of given numbers 740, 264, 272 is 4


2. How to calculate the greatest common divisor of 740, 264, 272?

We can find the highest common divisor of 740, 264, 272 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 740, 264, 272 i.e 4.


3. How can I use the GCD of 740, 264, 272Calculator?

Out the numbers 740, 264, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.