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GCD of 988, 513, 772, 378 Calculator

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


Online GCD Calculator is useful to find the GCD of 988, 513, 772, 378 quickly. Get the easiest ways to solve the greatest common divisor of 988, 513, 772, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 513, 772, 378 with Factoring?

Given Input numbers are 988, 513, 772, 378

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

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (988, 513, 772, 378) = 1.

Find GCD of 988, 513, 772, 378 using Prime Factorization

Given numbers are 988, 513, 772, 378

The list of prime factors of all numbers are

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

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 772 are 2 x 2 x 193

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 988, 513, 772, 378 using LCM Formula

Given numbers are 988, 513, 772, 378

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

Apply this formula for all numbers.

Step1:

LCM(988, 513) = 26676

GCD(988, 513) = ( 988 x 513 ) / 26676

= 988 / 513

= 988


Step2:

LCM(19, 772) = 14668

GCD(19, 772) = ( 19 x 772 ) / 14668

= 19 / 772

= 19


Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1


So, Greatest Common Divisor of 988, 513, 772, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 513, 772, 378

Given numbers are 988, 513, 772, 378
The greatest common divisor of numbers 988, 513, 772, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 513, 772, 378 is 1.

FAQs on GCD of 988, 513, 772, 378 Calculator

1. What is the GCD of 988, 513, 772, 378?

GCD of given numbers 988, 513, 772, 378 is 1


2. How to calculate the greatest common divisor of 988, 513, 772, 378?

We can find the highest common divisor of 988, 513, 772, 378 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 988, 513, 772, 378 i.e 1.


3. How can I use the GCD of 988, 513, 772, 378Calculator?

Out the numbers 988, 513, 772, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.