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GCD of 660, 896, 612, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 896, 612, 772 quickly. Get the easiest ways to solve the greatest common divisor of 660, 896, 612, 772 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 896, 612, 772 with Factoring?

Given Input numbers are 660, 896, 612, 772

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (660, 896, 612, 772) = 4.

Find GCD of 660, 896, 612, 772 using Prime Factorization

Given numbers are 660, 896, 612, 772

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 22

Therefore, GCD of 660, 896, 612, 772 is 4.

Steps to Calculate GCD of 660, 896, 612, 772 using LCM Formula

Given numbers are 660, 896, 612, 772

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

Apply this formula for all numbers.

Step1:

LCM(660, 896) = 147840

GCD(660, 896) = ( 660 x 896 ) / 147840

= 660 / 896

= 660


Step2:

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

= 4 / 612

= 4


Step3:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4


So, Greatest Common Divisor of 660, 896, 612, 772 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 896, 612, 772

Given numbers are 660, 896, 612, 772
The greatest common divisor of numbers 660, 896, 612, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 896, 612, 772 is 4.

FAQs on GCD of 660, 896, 612, 772 Calculator

1. What is the GCD of 660, 896, 612, 772?

GCD of given numbers 660, 896, 612, 772 is 4


2. How to calculate the greatest common divisor of 660, 896, 612, 772?

We can find the highest common divisor of 660, 896, 612, 772 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 660, 896, 612, 772 i.e 4.


3. How can I use the GCD of 660, 896, 612, 772Calculator?

Out the numbers 660, 896, 612, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.