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GCD of 701, 676, 896, 760 Calculator

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


Online GCD Calculator is useful to find the GCD of 701, 676, 896, 760 quickly. Get the easiest ways to solve the greatest common divisor of 701, 676, 896, 760 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 701, 676, 896, 760 with Factoring?

Given Input numbers are 701, 676, 896, 760

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

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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


GCD of numbers is the greatest common divisor

So, the GCD (701, 676, 896, 760) = 1.

Find GCD of 701, 676, 896, 760 using Prime Factorization

Given numbers are 701, 676, 896, 760

The list of prime factors of all numbers are

Prime factors of 701 are 701

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

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

Steps to Calculate GCD of 701, 676, 896, 760 using LCM Formula

Given numbers are 701, 676, 896, 760

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

Apply this formula for all numbers.

Step1:

LCM(701, 676) = 473876

GCD(701, 676) = ( 701 x 676 ) / 473876

= 701 / 676

= 701


Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1


So, Greatest Common Divisor of 701, 676, 896, 760 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 701, 676, 896, 760

Given numbers are 701, 676, 896, 760
The greatest common divisor of numbers 701, 676, 896, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 701, 676, 896, 760 is 1.

FAQs on GCD of 701, 676, 896, 760 Calculator

1. What is the GCD of 701, 676, 896, 760?

GCD of given numbers 701, 676, 896, 760 is 1


2. How to calculate the greatest common divisor of 701, 676, 896, 760?

We can find the highest common divisor of 701, 676, 896, 760 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 701, 676, 896, 760 i.e 1.


3. How can I use the GCD of 701, 676, 896, 760Calculator?

Out the numbers 701, 676, 896, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.