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GCD of 76, 21, 29, 89 Calculator

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


Online GCD Calculator is useful to find the GCD of 76, 21, 29, 89 quickly. Get the easiest ways to solve the greatest common divisor of 76, 21, 29, 89 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 76, 21, 29, 89 with Factoring?

Given Input numbers are 76, 21, 29, 89

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

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89


GCD of numbers is the greatest common divisor

So, the GCD (76, 21, 29, 89) = 1.

Find GCD of 76, 21, 29, 89 using Prime Factorization

Given numbers are 76, 21, 29, 89

The list of prime factors of all numbers are

Prime factors of 76 are 2 x 2 x 19

Prime factors of 21 are 3 x 7

Prime factors of 29 are 29

Prime factors of 89 are 89

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

Steps to Calculate GCD of 76, 21, 29, 89 using LCM Formula

Given numbers are 76, 21, 29, 89

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

Apply this formula for all numbers.

Step1:

LCM(76, 21) = 1596

GCD(76, 21) = ( 76 x 21 ) / 1596

= 76 / 21

= 76


Step2:

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

= 1 / 29

= 1


Step3:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1


So, Greatest Common Divisor of 76, 21, 29, 89 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 76, 21, 29, 89

Given numbers are 76, 21, 29, 89
The greatest common divisor of numbers 76, 21, 29, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 76, 21, 29, 89 is 1.

FAQs on GCD of 76, 21, 29, 89 Calculator

1. What is the GCD of 76, 21, 29, 89?

GCD of given numbers 76, 21, 29, 89 is 1


2. How to calculate the greatest common divisor of 76, 21, 29, 89?

We can find the highest common divisor of 76, 21, 29, 89 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 76, 21, 29, 89 i.e 1.


3. How can I use the GCD of 76, 21, 29, 89Calculator?

Out the numbers 76, 21, 29, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.