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GCD of 954, 688, 602, 378 Calculator

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


Online GCD Calculator is useful to find the GCD of 954, 688, 602, 378 quickly. Get the easiest ways to solve the greatest common divisor of 954, 688, 602, 378 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 954, 688, 602, 378 with Factoring?

Given Input numbers are 954, 688, 602, 378

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (954, 688, 602, 378) = 2.

Find GCD of 954, 688, 602, 378 using Prime Factorization

Given numbers are 954, 688, 602, 378

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 602 are 2 x 7 x 43

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 954, 688, 602, 378 is 2.

Steps to Calculate GCD of 954, 688, 602, 378 using LCM Formula

Given numbers are 954, 688, 602, 378

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

Apply this formula for all numbers.

Step1:

LCM(954, 688) = 328176

GCD(954, 688) = ( 954 x 688 ) / 328176

= 954 / 688

= 954


Step2:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2


Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2


So, Greatest Common Divisor of 954, 688, 602, 378 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 954, 688, 602, 378

Given numbers are 954, 688, 602, 378
The greatest common divisor of numbers 954, 688, 602, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 688, 602, 378 is 2.

FAQs on GCD of 954, 688, 602, 378 Calculator

1. What is the GCD of 954, 688, 602, 378?

GCD of given numbers 954, 688, 602, 378 is 2


2. How to calculate the greatest common divisor of 954, 688, 602, 378?

We can find the highest common divisor of 954, 688, 602, 378 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 954, 688, 602, 378 i.e 2.


3. How can I use the GCD of 954, 688, 602, 378Calculator?

Out the numbers 954, 688, 602, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.