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GCD of 180, 761, 834, 838 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 761, 834, 838 quickly. Get the easiest ways to solve the greatest common divisor of 180, 761, 834, 838 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 761, 834, 838 with Factoring?

Given Input numbers are 180, 761, 834, 838

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

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 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838


GCD of numbers is the greatest common divisor

So, the GCD (180, 761, 834, 838) = 1.

Find GCD of 180, 761, 834, 838 using Prime Factorization

Given numbers are 180, 761, 834, 838

The list of prime factors of all numbers are

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

Prime factors of 761 are 761

Prime factors of 834 are 2 x 3 x 139

Prime factors of 838 are 2 x 419

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

Steps to Calculate GCD of 180, 761, 834, 838 using LCM Formula

Given numbers are 180, 761, 834, 838

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

Apply this formula for all numbers.

Step1:

LCM(180, 761) = 136980

GCD(180, 761) = ( 180 x 761 ) / 136980

= 180 / 761

= 180


Step2:

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

= 1 / 834

= 1


Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


So, Greatest Common Divisor of 180, 761, 834, 838 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 761, 834, 838

Given numbers are 180, 761, 834, 838
The greatest common divisor of numbers 180, 761, 834, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 761, 834, 838 is 1.

FAQs on GCD of 180, 761, 834, 838 Calculator

1. What is the GCD of 180, 761, 834, 838?

GCD of given numbers 180, 761, 834, 838 is 1


2. How to calculate the greatest common divisor of 180, 761, 834, 838?

We can find the highest common divisor of 180, 761, 834, 838 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 180, 761, 834, 838 i.e 1.


3. How can I use the GCD of 180, 761, 834, 838Calculator?

Out the numbers 180, 761, 834, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.