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GCD of 988, 703, 519, 480 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, 703, 519, 480 quickly. Get the easiest ways to solve the greatest common divisor of 988, 703, 519, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 703, 519, 480 with Factoring?

Given Input numbers are 988, 703, 519, 480

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (988, 703, 519, 480) = 1.

Find GCD of 988, 703, 519, 480 using Prime Factorization

Given numbers are 988, 703, 519, 480

The list of prime factors of all numbers are

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

Prime factors of 703 are 19 x 37

Prime factors of 519 are 3 x 173

Prime factors of 480 are 2 x 2 x 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 988, 703, 519, 480 using LCM Formula

Given numbers are 988, 703, 519, 480

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

Apply this formula for all numbers.

Step1:

LCM(988, 703) = 36556

GCD(988, 703) = ( 988 x 703 ) / 36556

= 988 / 703

= 988


Step2:

LCM(19, 519) = 9861

GCD(19, 519) = ( 19 x 519 ) / 9861

= 19 / 519

= 19


Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


So, Greatest Common Divisor of 988, 703, 519, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 703, 519, 480

Given numbers are 988, 703, 519, 480
The greatest common divisor of numbers 988, 703, 519, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 703, 519, 480 is 1.

FAQs on GCD of 988, 703, 519, 480 Calculator

1. What is the GCD of 988, 703, 519, 480?

GCD of given numbers 988, 703, 519, 480 is 1


2. How to calculate the greatest common divisor of 988, 703, 519, 480?

We can find the highest common divisor of 988, 703, 519, 480 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, 703, 519, 480 i.e 1.


3. How can I use the GCD of 988, 703, 519, 480Calculator?

Out the numbers 988, 703, 519, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.