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GCD of 752, 988, 208, 919 Calculator

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


Online GCD Calculator is useful to find the GCD of 752, 988, 208, 919 quickly. Get the easiest ways to solve the greatest common divisor of 752, 988, 208, 919 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 988, 208, 919 with Factoring?

Given Input numbers are 752, 988, 208, 919

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919


GCD of numbers is the greatest common divisor

So, the GCD (752, 988, 208, 919) = 1.

Find GCD of 752, 988, 208, 919 using Prime Factorization

Given numbers are 752, 988, 208, 919

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 919 are 919

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

Steps to Calculate GCD of 752, 988, 208, 919 using LCM Formula

Given numbers are 752, 988, 208, 919

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

Apply this formula for all numbers.

Step1:

LCM(752, 988) = 185744

GCD(752, 988) = ( 752 x 988 ) / 185744

= 752 / 988

= 752


Step2:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4


Step3:

LCM(4, 919) = 3676

GCD(4, 919) = ( 4 x 919 ) / 3676

= 4 / 919

= 4


So, Greatest Common Divisor of 752, 988, 208, 919 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 988, 208, 919

Given numbers are 752, 988, 208, 919
The greatest common divisor of numbers 752, 988, 208, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 988, 208, 919 is 1.

FAQs on GCD of 752, 988, 208, 919 Calculator

1. What is the GCD of 752, 988, 208, 919?

GCD of given numbers 752, 988, 208, 919 is 1


2. How to calculate the greatest common divisor of 752, 988, 208, 919?

We can find the highest common divisor of 752, 988, 208, 919 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 752, 988, 208, 919 i.e 1.


3. How can I use the GCD of 752, 988, 208, 919Calculator?

Out the numbers 752, 988, 208, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.