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GCD of 378, 352, 602, 760 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 352, 602, 760 quickly. Get the easiest ways to solve the greatest common divisor of 378, 352, 602, 760 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 352, 602, 760 with Factoring?

Given Input numbers are 378, 352, 602, 760

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 602 :

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

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760


GCD of numbers is the greatest common divisor

So, the GCD (378, 352, 602, 760) = 2.

Find GCD of 378, 352, 602, 760 using Prime Factorization

Given numbers are 378, 352, 602, 760

The list of prime factors of all numbers are

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

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 602 are 2 x 7 x 43

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 21

Therefore, GCD of 378, 352, 602, 760 is 2.

Steps to Calculate GCD of 378, 352, 602, 760 using LCM Formula

Given numbers are 378, 352, 602, 760

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

Apply this formula for all numbers.

Step1:

LCM(378, 352) = 66528

GCD(378, 352) = ( 378 x 352 ) / 66528

= 378 / 352

= 378


Step2:

LCM(2, 602) = 602

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

= 2 / 602

= 2


Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2


So, Greatest Common Divisor of 378, 352, 602, 760 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 352, 602, 760

Given numbers are 378, 352, 602, 760
The greatest common divisor of numbers 378, 352, 602, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 352, 602, 760 is 2.

FAQs on GCD of 378, 352, 602, 760 Calculator

1. What is the GCD of 378, 352, 602, 760?

GCD of given numbers 378, 352, 602, 760 is 2


2. How to calculate the greatest common divisor of 378, 352, 602, 760?

We can find the highest common divisor of 378, 352, 602, 760 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 378, 352, 602, 760 i.e 2.


3. How can I use the GCD of 378, 352, 602, 760Calculator?

Out the numbers 378, 352, 602, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.