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GCD of 760, 349, 185, 120 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, 349, 185, 120 quickly. Get the easiest ways to solve the greatest common divisor of 760, 349, 185, 120 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 349, 185, 120 with Factoring?

Given Input numbers are 760, 349, 185, 120

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120


GCD of numbers is the greatest common divisor

So, the GCD (760, 349, 185, 120) = 1.

Find GCD of 760, 349, 185, 120 using Prime Factorization

Given numbers are 760, 349, 185, 120

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 349 are 349

Prime factors of 185 are 5 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Steps to Calculate GCD of 760, 349, 185, 120 using LCM Formula

Given numbers are 760, 349, 185, 120

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

Apply this formula for all numbers.

Step1:

LCM(760, 349) = 265240

GCD(760, 349) = ( 760 x 349 ) / 265240

= 760 / 349

= 760


Step2:

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

= 1 / 185

= 1


Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


So, Greatest Common Divisor of 760, 349, 185, 120 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 349, 185, 120

Given numbers are 760, 349, 185, 120
The greatest common divisor of numbers 760, 349, 185, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 349, 185, 120 is 1.

FAQs on GCD of 760, 349, 185, 120 Calculator

1. What is the GCD of 760, 349, 185, 120?

GCD of given numbers 760, 349, 185, 120 is 1


2. How to calculate the greatest common divisor of 760, 349, 185, 120?

We can find the highest common divisor of 760, 349, 185, 120 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, 349, 185, 120 i.e 1.


3. How can I use the GCD of 760, 349, 185, 120Calculator?

Out the numbers 760, 349, 185, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.