Greatest Common Factor of 218/63, 630/1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/63, 630/1656

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 218/63,630/1656

Given fractions are 218/63,630/1656

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 218,630

Greatest Common Factor of Numerators i.e. GCF of 218,630 is 2 .

LCM of Denominators means LCM of 63,1656 as per the given fractions.

LCM of 63,1656 is 11592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,630

GCF of Fractions 218/63,630/1656 is 2/11592

2 218, 630
109, 315

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 218,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,630 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

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

Greatest Common Factor

We found the factors 218,630 . The biggest common factor number is the GCF number.
So the greatest common factor 218,630 is 2.

Lets's calculate LCM of 63,1656

3 63, 1656
3 21, 552
7, 184

∴ So the LCM of the given numbers is 3 x 3 x 7 x 184 = 11592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11592

Therefore, the GCF of Fractions 218/63,630/1656 is 2/11592

Least Common Multiple of 63,1656 with GCF Formula

Least Common Multiple of 63,1656 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,1656) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(63,1656) x common factors =9 x 1 = 9

LCM(63,1656) = ( 63 × 1656 ) / 9

LCM(63,1656) = 104328 / 9

LCM(63,1656) = 11592


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 218/63, 630/1656

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 218/63, 630/1656?

Answer: GCF of Numerators as per given numbers 218/63, 630/1656 is

GCF of Numerators i.e. for 218,630 is 2

LCM of denominators i.e. for 63,1656 is 11592.

Thus, GCF of Fractions is 2/11592.Finally, GCF of Fractions for 218/63, 630/1656 is 2/11592.