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GCD of 760, 928, 380, 798 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, 928, 380, 798 quickly. Get the easiest ways to solve the greatest common divisor of 760, 928, 380, 798 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 928, 380, 798 with Factoring?

Given Input numbers are 760, 928, 380, 798

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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


GCD of numbers is the greatest common divisor

So, the GCD (760, 928, 380, 798) = 2.

Find GCD of 760, 928, 380, 798 using Prime Factorization

Given numbers are 760, 928, 380, 798

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 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 380 are 2 x 2 x 5 x 19

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

The highest common occurrence is 21

Therefore, GCD of 760, 928, 380, 798 is 2.

Steps to Calculate GCD of 760, 928, 380, 798 using LCM Formula

Given numbers are 760, 928, 380, 798

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

Apply this formula for all numbers.

Step1:

LCM(760, 928) = 88160

GCD(760, 928) = ( 760 x 928 ) / 88160

= 760 / 928

= 760


Step2:

LCM(8, 380) = 760

GCD(8, 380) = ( 8 x 380 ) / 760

= 8 / 380

= 8


Step3:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4


So, Greatest Common Divisor of 760, 928, 380, 798 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 928, 380, 798

Given numbers are 760, 928, 380, 798
The greatest common divisor of numbers 760, 928, 380, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 928, 380, 798 is 2.

FAQs on GCD of 760, 928, 380, 798 Calculator

1. What is the GCD of 760, 928, 380, 798?

GCD of given numbers 760, 928, 380, 798 is 2


2. How to calculate the greatest common divisor of 760, 928, 380, 798?

We can find the highest common divisor of 760, 928, 380, 798 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, 928, 380, 798 i.e 2.


3. How can I use the GCD of 760, 928, 380, 798Calculator?

Out the numbers 760, 928, 380, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.