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GCD of 984, 752, 687, 994 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 752, 687, 994 quickly. Get the easiest ways to solve the greatest common divisor of 984, 752, 687, 994 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 752, 687, 994 with Factoring?

Given Input numbers are 984, 752, 687, 994

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994


GCD of numbers is the greatest common divisor

So, the GCD (984, 752, 687, 994) = 1.

Find GCD of 984, 752, 687, 994 using Prime Factorization

Given numbers are 984, 752, 687, 994

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 687 are 3 x 229

Prime factors of 994 are 2 x 7 x 71

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

Steps to Calculate GCD of 984, 752, 687, 994 using LCM Formula

Given numbers are 984, 752, 687, 994

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

Apply this formula for all numbers.

Step1:

LCM(984, 752) = 92496

GCD(984, 752) = ( 984 x 752 ) / 92496

= 984 / 752

= 984


Step2:

LCM(8, 687) = 5496

GCD(8, 687) = ( 8 x 687 ) / 5496

= 8 / 687

= 8


Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1


So, Greatest Common Divisor of 984, 752, 687, 994 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 752, 687, 994

Given numbers are 984, 752, 687, 994
The greatest common divisor of numbers 984, 752, 687, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 752, 687, 994 is 1.

FAQs on GCD of 984, 752, 687, 994 Calculator

1. What is the GCD of 984, 752, 687, 994?

GCD of given numbers 984, 752, 687, 994 is 1


2. How to calculate the greatest common divisor of 984, 752, 687, 994?

We can find the highest common divisor of 984, 752, 687, 994 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 984, 752, 687, 994 i.e 1.


3. How can I use the GCD of 984, 752, 687, 994Calculator?

Out the numbers 984, 752, 687, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.