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GCD of 992, 800, 837, 709 Calculator

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


Online GCD Calculator is useful to find the GCD of 992, 800, 837, 709 quickly. Get the easiest ways to solve the greatest common divisor of 992, 800, 837, 709 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 800, 837, 709 with Factoring?

Given Input numbers are 992, 800, 837, 709

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709


GCD of numbers is the greatest common divisor

So, the GCD (992, 800, 837, 709) = 1.

Find GCD of 992, 800, 837, 709 using Prime Factorization

Given numbers are 992, 800, 837, 709

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 709 are 709

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

Steps to Calculate GCD of 992, 800, 837, 709 using LCM Formula

Given numbers are 992, 800, 837, 709

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

Apply this formula for all numbers.

Step1:

LCM(992, 800) = 24800

GCD(992, 800) = ( 992 x 800 ) / 24800

= 992 / 800

= 992


Step2:

LCM(32, 837) = 26784

GCD(32, 837) = ( 32 x 837 ) / 26784

= 32 / 837

= 32


Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1


So, Greatest Common Divisor of 992, 800, 837, 709 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 800, 837, 709

Given numbers are 992, 800, 837, 709
The greatest common divisor of numbers 992, 800, 837, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 800, 837, 709 is 1.

FAQs on GCD of 992, 800, 837, 709 Calculator

1. What is the GCD of 992, 800, 837, 709?

GCD of given numbers 992, 800, 837, 709 is 1


2. How to calculate the greatest common divisor of 992, 800, 837, 709?

We can find the highest common divisor of 992, 800, 837, 709 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 992, 800, 837, 709 i.e 1.


3. How can I use the GCD of 992, 800, 837, 709Calculator?

Out the numbers 992, 800, 837, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.