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GCD of 848, 312, 764, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 848, 312, 764, 990 quickly. Get the easiest ways to solve the greatest common divisor of 848, 312, 764, 990 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 848, 312, 764, 990 with Factoring?

Given Input numbers are 848, 312, 764, 990

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

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990


GCD of numbers is the greatest common divisor

So, the GCD (848, 312, 764, 990) = 2.

Find GCD of 848, 312, 764, 990 using Prime Factorization

Given numbers are 848, 312, 764, 990

The list of prime factors of all numbers are

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 764 are 2 x 2 x 191

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 848, 312, 764, 990 is 2.

Steps to Calculate GCD of 848, 312, 764, 990 using LCM Formula

Given numbers are 848, 312, 764, 990

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

Apply this formula for all numbers.

Step1:

LCM(848, 312) = 33072

GCD(848, 312) = ( 848 x 312 ) / 33072

= 848 / 312

= 848


Step2:

LCM(8, 764) = 1528

GCD(8, 764) = ( 8 x 764 ) / 1528

= 8 / 764

= 8


Step3:

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

= 4 / 990

= 4


So, Greatest Common Divisor of 848, 312, 764, 990 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 848, 312, 764, 990

Given numbers are 848, 312, 764, 990
The greatest common divisor of numbers 848, 312, 764, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 312, 764, 990 is 2.

FAQs on GCD of 848, 312, 764, 990 Calculator

1. What is the GCD of 848, 312, 764, 990?

GCD of given numbers 848, 312, 764, 990 is 2


2. How to calculate the greatest common divisor of 848, 312, 764, 990?

We can find the highest common divisor of 848, 312, 764, 990 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 848, 312, 764, 990 i.e 2.


3. How can I use the GCD of 848, 312, 764, 990Calculator?

Out the numbers 848, 312, 764, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.