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GCD of 760, 721, 351, 149 Calculator

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


Online GCD Calculator is useful to find the GCD of 760, 721, 351, 149 quickly. Get the easiest ways to solve the greatest common divisor of 760, 721, 351, 149 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 721, 351, 149 with Factoring?

Given Input numbers are 760, 721, 351, 149

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149


GCD of numbers is the greatest common divisor

So, the GCD (760, 721, 351, 149) = 1.

Find GCD of 760, 721, 351, 149 using Prime Factorization

Given numbers are 760, 721, 351, 149

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 721 are 7 x 103

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 149 are 149

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

Steps to Calculate GCD of 760, 721, 351, 149 using LCM Formula

Given numbers are 760, 721, 351, 149

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

Apply this formula for all numbers.

Step1:

LCM(760, 721) = 547960

GCD(760, 721) = ( 760 x 721 ) / 547960

= 760 / 721

= 760


Step2:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1


So, Greatest Common Divisor of 760, 721, 351, 149 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 721, 351, 149

Given numbers are 760, 721, 351, 149
The greatest common divisor of numbers 760, 721, 351, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 721, 351, 149 is 1.

FAQs on GCD of 760, 721, 351, 149 Calculator

1. What is the GCD of 760, 721, 351, 149?

GCD of given numbers 760, 721, 351, 149 is 1


2. How to calculate the greatest common divisor of 760, 721, 351, 149?

We can find the highest common divisor of 760, 721, 351, 149 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 760, 721, 351, 149 i.e 1.


3. How can I use the GCD of 760, 721, 351, 149Calculator?

Out the numbers 760, 721, 351, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.