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GCD of 755, 120, 988, 302 Calculator

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


Online GCD Calculator is useful to find the GCD of 755, 120, 988, 302 quickly. Get the easiest ways to solve the greatest common divisor of 755, 120, 988, 302 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 755, 120, 988, 302 with Factoring?

Given Input numbers are 755, 120, 988, 302

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302


GCD of numbers is the greatest common divisor

So, the GCD (755, 120, 988, 302) = 1.

Find GCD of 755, 120, 988, 302 using Prime Factorization

Given numbers are 755, 120, 988, 302

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

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

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 302 are 2 x 151

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

Steps to Calculate GCD of 755, 120, 988, 302 using LCM Formula

Given numbers are 755, 120, 988, 302

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

Apply this formula for all numbers.

Step1:

LCM(755, 120) = 18120

GCD(755, 120) = ( 755 x 120 ) / 18120

= 755 / 120

= 755


Step2:

LCM(5, 988) = 4940

GCD(5, 988) = ( 5 x 988 ) / 4940

= 5 / 988

= 5


Step3:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1


So, Greatest Common Divisor of 755, 120, 988, 302 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 755, 120, 988, 302

Given numbers are 755, 120, 988, 302
The greatest common divisor of numbers 755, 120, 988, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 120, 988, 302 is 1.

FAQs on GCD of 755, 120, 988, 302 Calculator

1. What is the GCD of 755, 120, 988, 302?

GCD of given numbers 755, 120, 988, 302 is 1


2. How to calculate the greatest common divisor of 755, 120, 988, 302?

We can find the highest common divisor of 755, 120, 988, 302 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 755, 120, 988, 302 i.e 1.


3. How can I use the GCD of 755, 120, 988, 302Calculator?

Out the numbers 755, 120, 988, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.