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GCD of 992, 747, 648, 315 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, 747, 648, 315 quickly. Get the easiest ways to solve the greatest common divisor of 992, 747, 648, 315 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 747, 648, 315 with Factoring?

Given Input numbers are 992, 747, 648, 315

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315


GCD of numbers is the greatest common divisor

So, the GCD (992, 747, 648, 315) = 1.

Find GCD of 992, 747, 648, 315 using Prime Factorization

Given numbers are 992, 747, 648, 315

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 747 are 3 x 3 x 83

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 315 are 3 x 3 x 5 x 7

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

Steps to Calculate GCD of 992, 747, 648, 315 using LCM Formula

Given numbers are 992, 747, 648, 315

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

Apply this formula for all numbers.

Step1:

LCM(992, 747) = 741024

GCD(992, 747) = ( 992 x 747 ) / 741024

= 992 / 747

= 992


Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1


Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1


So, Greatest Common Divisor of 992, 747, 648, 315 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 747, 648, 315

Given numbers are 992, 747, 648, 315
The greatest common divisor of numbers 992, 747, 648, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 747, 648, 315 is 1.

FAQs on GCD of 992, 747, 648, 315 Calculator

1. What is the GCD of 992, 747, 648, 315?

GCD of given numbers 992, 747, 648, 315 is 1


2. How to calculate the greatest common divisor of 992, 747, 648, 315?

We can find the highest common divisor of 992, 747, 648, 315 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, 747, 648, 315 i.e 1.


3. How can I use the GCD of 992, 747, 648, 315Calculator?

Out the numbers 992, 747, 648, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.