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GCD of 412, 940, 116, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 412, 940, 116, 660 quickly. Get the easiest ways to solve the greatest common divisor of 412, 940, 116, 660 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 412, 940, 116, 660 with Factoring?

Given Input numbers are 412, 940, 116, 660

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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


GCD of numbers is the greatest common divisor

So, the GCD (412, 940, 116, 660) = 4.

Find GCD of 412, 940, 116, 660 using Prime Factorization

Given numbers are 412, 940, 116, 660

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 116 are 2 x 2 x 29

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

The highest common occurrence is 22

Therefore, GCD of 412, 940, 116, 660 is 4.

Steps to Calculate GCD of 412, 940, 116, 660 using LCM Formula

Given numbers are 412, 940, 116, 660

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

Apply this formula for all numbers.

Step1:

LCM(412, 940) = 96820

GCD(412, 940) = ( 412 x 940 ) / 96820

= 412 / 940

= 412


Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4


Step3:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4


So, Greatest Common Divisor of 412, 940, 116, 660 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 412, 940, 116, 660

Given numbers are 412, 940, 116, 660
The greatest common divisor of numbers 412, 940, 116, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 940, 116, 660 is 4.

FAQs on GCD of 412, 940, 116, 660 Calculator

1. What is the GCD of 412, 940, 116, 660?

GCD of given numbers 412, 940, 116, 660 is 4


2. How to calculate the greatest common divisor of 412, 940, 116, 660?

We can find the highest common divisor of 412, 940, 116, 660 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 412, 940, 116, 660 i.e 4.


3. How can I use the GCD of 412, 940, 116, 660Calculator?

Out the numbers 412, 940, 116, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.