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GCD of 992, 762, 360, 618 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, 762, 360, 618 quickly. Get the easiest ways to solve the greatest common divisor of 992, 762, 360, 618 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 762, 360, 618 with Factoring?

Given Input numbers are 992, 762, 360, 618

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618


GCD of numbers is the greatest common divisor

So, the GCD (992, 762, 360, 618) = 2.

Find GCD of 992, 762, 360, 618 using Prime Factorization

Given numbers are 992, 762, 360, 618

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 762 are 2 x 3 x 127

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 21

Therefore, GCD of 992, 762, 360, 618 is 2.

Steps to Calculate GCD of 992, 762, 360, 618 using LCM Formula

Given numbers are 992, 762, 360, 618

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

Apply this formula for all numbers.

Step1:

LCM(992, 762) = 377952

GCD(992, 762) = ( 992 x 762 ) / 377952

= 992 / 762

= 992


Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


Step3:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2


So, Greatest Common Divisor of 992, 762, 360, 618 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 762, 360, 618

Given numbers are 992, 762, 360, 618
The greatest common divisor of numbers 992, 762, 360, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 762, 360, 618 is 2.

FAQs on GCD of 992, 762, 360, 618 Calculator

1. What is the GCD of 992, 762, 360, 618?

GCD of given numbers 992, 762, 360, 618 is 2


2. How to calculate the greatest common divisor of 992, 762, 360, 618?

We can find the highest common divisor of 992, 762, 360, 618 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, 762, 360, 618 i.e 2.


3. How can I use the GCD of 992, 762, 360, 618Calculator?

Out the numbers 992, 762, 360, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.