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GCD of 735, 130, 149, 844 Calculator

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


Online GCD Calculator is useful to find the GCD of 735, 130, 149, 844 quickly. Get the easiest ways to solve the greatest common divisor of 735, 130, 149, 844 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 735, 130, 149, 844 with Factoring?

Given Input numbers are 735, 130, 149, 844

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844


GCD of numbers is the greatest common divisor

So, the GCD (735, 130, 149, 844) = 1.

Find GCD of 735, 130, 149, 844 using Prime Factorization

Given numbers are 735, 130, 149, 844

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 130 are 2 x 5 x 13

Prime factors of 149 are 149

Prime factors of 844 are 2 x 2 x 211

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

Steps to Calculate GCD of 735, 130, 149, 844 using LCM Formula

Given numbers are 735, 130, 149, 844

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

Apply this formula for all numbers.

Step1:

LCM(735, 130) = 19110

GCD(735, 130) = ( 735 x 130 ) / 19110

= 735 / 130

= 735


Step2:

LCM(5, 149) = 745

GCD(5, 149) = ( 5 x 149 ) / 745

= 5 / 149

= 5


Step3:

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

= 1 / 844

= 1


So, Greatest Common Divisor of 735, 130, 149, 844 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 735, 130, 149, 844

Given numbers are 735, 130, 149, 844
The greatest common divisor of numbers 735, 130, 149, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 130, 149, 844 is 1.

FAQs on GCD of 735, 130, 149, 844 Calculator

1. What is the GCD of 735, 130, 149, 844?

GCD of given numbers 735, 130, 149, 844 is 1


2. How to calculate the greatest common divisor of 735, 130, 149, 844?

We can find the highest common divisor of 735, 130, 149, 844 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 735, 130, 149, 844 i.e 1.


3. How can I use the GCD of 735, 130, 149, 844Calculator?

Out the numbers 735, 130, 149, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.