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GCD of 672, 798, 355, 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 672, 798, 355, 760 quickly. Get the easiest ways to solve the greatest common divisor of 672, 798, 355, 760 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 798, 355, 760 with Factoring?

Given Input numbers are 672, 798, 355, 760

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 (672, 798, 355, 760) = 1.

Find GCD of 672, 798, 355, 760 using Prime Factorization

Given numbers are 672, 798, 355, 760

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 355 are 5 x 71

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 672, 798, 355, 760 using LCM Formula

Given numbers are 672, 798, 355, 760

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

Apply this formula for all numbers.

Step1:

LCM(672, 798) = 12768

GCD(672, 798) = ( 672 x 798 ) / 12768

= 672 / 798

= 672


Step2:

LCM(42, 355) = 14910

GCD(42, 355) = ( 42 x 355 ) / 14910

= 42 / 355

= 42


Step3:

LCM(1, 760) = 760

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

= 1 / 760

= 1


So, Greatest Common Divisor of 672, 798, 355, 760 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 798, 355, 760

Given numbers are 672, 798, 355, 760
The greatest common divisor of numbers 672, 798, 355, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 798, 355, 760 is 1.

FAQs on GCD of 672, 798, 355, 760 Calculator

1. What is the GCD of 672, 798, 355, 760?

GCD of given numbers 672, 798, 355, 760 is 1


2. How to calculate the greatest common divisor of 672, 798, 355, 760?

We can find the highest common divisor of 672, 798, 355, 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 672, 798, 355, 760 i.e 1.


3. How can I use the GCD of 672, 798, 355, 760Calculator?

Out the numbers 672, 798, 355, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.