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GCD of 706, 789, 642, 938 Calculator

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


Online GCD Calculator is useful to find the GCD of 706, 789, 642, 938 quickly. Get the easiest ways to solve the greatest common divisor of 706, 789, 642, 938 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 706, 789, 642, 938 with Factoring?

Given Input numbers are 706, 789, 642, 938

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 938 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (706, 789, 642, 938) = 1.

Find GCD of 706, 789, 642, 938 using Prime Factorization

Given numbers are 706, 789, 642, 938

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 789 are 3 x 263

Prime factors of 642 are 2 x 3 x 107

Prime factors of 938 are 2 x 7 x 67

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

Steps to Calculate GCD of 706, 789, 642, 938 using LCM Formula

Given numbers are 706, 789, 642, 938

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

Apply this formula for all numbers.

Step1:

LCM(706, 789) = 557034

GCD(706, 789) = ( 706 x 789 ) / 557034

= 706 / 789

= 706


Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1


Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1


So, Greatest Common Divisor of 706, 789, 642, 938 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 706, 789, 642, 938

Given numbers are 706, 789, 642, 938
The greatest common divisor of numbers 706, 789, 642, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 789, 642, 938 is 1.

FAQs on GCD of 706, 789, 642, 938 Calculator

1. What is the GCD of 706, 789, 642, 938?

GCD of given numbers 706, 789, 642, 938 is 1


2. How to calculate the greatest common divisor of 706, 789, 642, 938?

We can find the highest common divisor of 706, 789, 642, 938 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 706, 789, 642, 938 i.e 1.


3. How can I use the GCD of 706, 789, 642, 938Calculator?

Out the numbers 706, 789, 642, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.