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GCD of 948, 366, 606, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 366, 606, 996 quickly. Get the easiest ways to solve the greatest common divisor of 948, 366, 606, 996 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 366, 606, 996 with Factoring?

Given Input numbers are 948, 366, 606, 996

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996


GCD of numbers is the greatest common divisor

So, the GCD (948, 366, 606, 996) = 6.

Find GCD of 948, 366, 606, 996 using Prime Factorization

Given numbers are 948, 366, 606, 996

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 366 are 2 x 3 x 61

Prime factors of 606 are 2 x 3 x 101

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 21 x 31

Therefore, GCD of 948, 366, 606, 996 is 6.

Steps to Calculate GCD of 948, 366, 606, 996 using LCM Formula

Given numbers are 948, 366, 606, 996

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

Apply this formula for all numbers.

Step1:

LCM(948, 366) = 57828

GCD(948, 366) = ( 948 x 366 ) / 57828

= 948 / 366

= 948


Step2:

LCM(6, 606) = 606

GCD(6, 606) = ( 6 x 606 ) / 606

= 6 / 606

= 6


Step3:

LCM(6, 996) = 996

GCD(6, 996) = ( 6 x 996 ) / 996

= 6 / 996

= 6


So, Greatest Common Divisor of 948, 366, 606, 996 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 366, 606, 996

Given numbers are 948, 366, 606, 996
The greatest common divisor of numbers 948, 366, 606, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 366, 606, 996 is 6.

FAQs on GCD of 948, 366, 606, 996 Calculator

1. What is the GCD of 948, 366, 606, 996?

GCD of given numbers 948, 366, 606, 996 is 6


2. How to calculate the greatest common divisor of 948, 366, 606, 996?

We can find the highest common divisor of 948, 366, 606, 996 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 948, 366, 606, 996 i.e 6.


3. How can I use the GCD of 948, 366, 606, 996Calculator?

Out the numbers 948, 366, 606, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.