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GCD of 938, 689, 978, 768 Calculator

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


Online GCD Calculator is useful to find the GCD of 938, 689, 978, 768 quickly. Get the easiest ways to solve the greatest common divisor of 938, 689, 978, 768 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 938, 689, 978, 768 with Factoring?

Given Input numbers are 938, 689, 978, 768

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

Divisors of 938 :

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

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (938, 689, 978, 768) = 1.

Find GCD of 938, 689, 978, 768 using Prime Factorization

Given numbers are 938, 689, 978, 768

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 689 are 13 x 53

Prime factors of 978 are 2 x 3 x 163

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 938, 689, 978, 768 using LCM Formula

Given numbers are 938, 689, 978, 768

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

Apply this formula for all numbers.

Step1:

LCM(938, 689) = 646282

GCD(938, 689) = ( 938 x 689 ) / 646282

= 938 / 689

= 938


Step2:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1


Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1


So, Greatest Common Divisor of 938, 689, 978, 768 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 938, 689, 978, 768

Given numbers are 938, 689, 978, 768
The greatest common divisor of numbers 938, 689, 978, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 689, 978, 768 is 1.

FAQs on GCD of 938, 689, 978, 768 Calculator

1. What is the GCD of 938, 689, 978, 768?

GCD of given numbers 938, 689, 978, 768 is 1


2. How to calculate the greatest common divisor of 938, 689, 978, 768?

We can find the highest common divisor of 938, 689, 978, 768 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 938, 689, 978, 768 i.e 1.


3. How can I use the GCD of 938, 689, 978, 768Calculator?

Out the numbers 938, 689, 978, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.