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GCD of 760, 913, 180, 898 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, 913, 180, 898 quickly. Get the easiest ways to solve the greatest common divisor of 760, 913, 180, 898 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 913, 180, 898 with Factoring?

Given Input numbers are 760, 913, 180, 898

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 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898


GCD of numbers is the greatest common divisor

So, the GCD (760, 913, 180, 898) = 1.

Find GCD of 760, 913, 180, 898 using Prime Factorization

Given numbers are 760, 913, 180, 898

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 913 are 11 x 83

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 898 are 2 x 449

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

Steps to Calculate GCD of 760, 913, 180, 898 using LCM Formula

Given numbers are 760, 913, 180, 898

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

Apply this formula for all numbers.

Step1:

LCM(760, 913) = 693880

GCD(760, 913) = ( 760 x 913 ) / 693880

= 760 / 913

= 760


Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


So, Greatest Common Divisor of 760, 913, 180, 898 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 913, 180, 898

Given numbers are 760, 913, 180, 898
The greatest common divisor of numbers 760, 913, 180, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 913, 180, 898 is 1.

FAQs on GCD of 760, 913, 180, 898 Calculator

1. What is the GCD of 760, 913, 180, 898?

GCD of given numbers 760, 913, 180, 898 is 1


2. How to calculate the greatest common divisor of 760, 913, 180, 898?

We can find the highest common divisor of 760, 913, 180, 898 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, 913, 180, 898 i.e 1.


3. How can I use the GCD of 760, 913, 180, 898Calculator?

Out the numbers 760, 913, 180, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.