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GCD of 756, 938, 702, 727 Calculator

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


Online GCD Calculator is useful to find the GCD of 756, 938, 702, 727 quickly. Get the easiest ways to solve the greatest common divisor of 756, 938, 702, 727 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 756, 938, 702, 727 with Factoring?

Given Input numbers are 756, 938, 702, 727

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727


GCD of numbers is the greatest common divisor

So, the GCD (756, 938, 702, 727) = 1.

Find GCD of 756, 938, 702, 727 using Prime Factorization

Given numbers are 756, 938, 702, 727

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 938 are 2 x 7 x 67

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 727 are 727

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 756, 938, 702, 727 using LCM Formula

Given numbers are 756, 938, 702, 727

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

Apply this formula for all numbers.

Step1:

LCM(756, 938) = 50652

GCD(756, 938) = ( 756 x 938 ) / 50652

= 756 / 938

= 756


Step2:

LCM(14, 702) = 4914

GCD(14, 702) = ( 14 x 702 ) / 4914

= 14 / 702

= 14


Step3:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2


So, Greatest Common Divisor of 756, 938, 702, 727 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 756, 938, 702, 727

Given numbers are 756, 938, 702, 727
The greatest common divisor of numbers 756, 938, 702, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 938, 702, 727 is 1.

FAQs on GCD of 756, 938, 702, 727 Calculator

1. What is the GCD of 756, 938, 702, 727?

GCD of given numbers 756, 938, 702, 727 is 1


2. How to calculate the greatest common divisor of 756, 938, 702, 727?

We can find the highest common divisor of 756, 938, 702, 727 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 756, 938, 702, 727 i.e 1.


3. How can I use the GCD of 756, 938, 702, 727Calculator?

Out the numbers 756, 938, 702, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.