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GCD of 739, 257, 772, 977 Calculator

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


Online GCD Calculator is useful to find the GCD of 739, 257, 772, 977 quickly. Get the easiest ways to solve the greatest common divisor of 739, 257, 772, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 739, 257, 772, 977 with Factoring?

Given Input numbers are 739, 257, 772, 977

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

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (739, 257, 772, 977) = 1.

Find GCD of 739, 257, 772, 977 using Prime Factorization

Given numbers are 739, 257, 772, 977

The list of prime factors of all numbers are

Prime factors of 739 are 739

Prime factors of 257 are 257

Prime factors of 772 are 2 x 2 x 193

Prime factors of 977 are 977

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

Steps to Calculate GCD of 739, 257, 772, 977 using LCM Formula

Given numbers are 739, 257, 772, 977

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

Apply this formula for all numbers.

Step1:

LCM(739, 257) = 189923

GCD(739, 257) = ( 739 x 257 ) / 189923

= 739 / 257

= 739


Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1


So, Greatest Common Divisor of 739, 257, 772, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 739, 257, 772, 977

Given numbers are 739, 257, 772, 977
The greatest common divisor of numbers 739, 257, 772, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 739, 257, 772, 977 is 1.

FAQs on GCD of 739, 257, 772, 977 Calculator

1. What is the GCD of 739, 257, 772, 977?

GCD of given numbers 739, 257, 772, 977 is 1


2. How to calculate the greatest common divisor of 739, 257, 772, 977?

We can find the highest common divisor of 739, 257, 772, 977 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 739, 257, 772, 977 i.e 1.


3. How can I use the GCD of 739, 257, 772, 977Calculator?

Out the numbers 739, 257, 772, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.