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GCD of 706, 371, 960, 677 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, 371, 960, 677 quickly. Get the easiest ways to solve the greatest common divisor of 706, 371, 960, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 706, 371, 960, 677 with Factoring?

Given Input numbers are 706, 371, 960, 677

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (706, 371, 960, 677) = 1.

Find GCD of 706, 371, 960, 677 using Prime Factorization

Given numbers are 706, 371, 960, 677

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 371 are 7 x 53

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 677 are 677

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

Steps to Calculate GCD of 706, 371, 960, 677 using LCM Formula

Given numbers are 706, 371, 960, 677

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

Apply this formula for all numbers.

Step1:

LCM(706, 371) = 261926

GCD(706, 371) = ( 706 x 371 ) / 261926

= 706 / 371

= 706


Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 706, 371, 960, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 706, 371, 960, 677

Given numbers are 706, 371, 960, 677
The greatest common divisor of numbers 706, 371, 960, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 371, 960, 677 is 1.

FAQs on GCD of 706, 371, 960, 677 Calculator

1. What is the GCD of 706, 371, 960, 677?

GCD of given numbers 706, 371, 960, 677 is 1


2. How to calculate the greatest common divisor of 706, 371, 960, 677?

We can find the highest common divisor of 706, 371, 960, 677 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, 371, 960, 677 i.e 1.


3. How can I use the GCD of 706, 371, 960, 677Calculator?

Out the numbers 706, 371, 960, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.