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GCD of 630, 392, 678, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 630, 392, 678, 340 quickly. Get the easiest ways to solve the greatest common divisor of 630, 392, 678, 340 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 392, 678, 340 with Factoring?

Given Input numbers are 630, 392, 678, 340

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (630, 392, 678, 340) = 2.

Find GCD of 630, 392, 678, 340 using Prime Factorization

Given numbers are 630, 392, 678, 340

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 678 are 2 x 3 x 113

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 21

Therefore, GCD of 630, 392, 678, 340 is 2.

Steps to Calculate GCD of 630, 392, 678, 340 using LCM Formula

Given numbers are 630, 392, 678, 340

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

Apply this formula for all numbers.

Step1:

LCM(630, 392) = 17640

GCD(630, 392) = ( 630 x 392 ) / 17640

= 630 / 392

= 630


Step2:

LCM(14, 678) = 4746

GCD(14, 678) = ( 14 x 678 ) / 4746

= 14 / 678

= 14


Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2


So, Greatest Common Divisor of 630, 392, 678, 340 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 392, 678, 340

Given numbers are 630, 392, 678, 340
The greatest common divisor of numbers 630, 392, 678, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 392, 678, 340 is 2.

FAQs on GCD of 630, 392, 678, 340 Calculator

1. What is the GCD of 630, 392, 678, 340?

GCD of given numbers 630, 392, 678, 340 is 2


2. How to calculate the greatest common divisor of 630, 392, 678, 340?

We can find the highest common divisor of 630, 392, 678, 340 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 630, 392, 678, 340 i.e 2.


3. How can I use the GCD of 630, 392, 678, 340Calculator?

Out the numbers 630, 392, 678, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.