Greatest Common Factor of 630/291, 8008/2231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/291, 8008/2231

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 630/291,8008/2231

Given fractions are 630/291,8008/2231

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 630,8008

Greatest Common Factor of Numerators i.e. GCF of 630,8008 is 14 .

LCM of Denominators means LCM of 291,2231 as per the given fractions.

LCM of 291,2231 is 6693 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,8008

GCF of Fractions 630/291,8008/2231 is 14/6693

2 630, 8008
7 315, 4004
45, 572

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 630,8008 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,8008 By Matching Biggest Common Factor Method

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

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Greatest Common Factor

We found the factors 630,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 630,8008 is 14.

Lets's calculate LCM of 291,2231

97 291, 2231
3, 23

∴ So the LCM of the given numbers is 97 x 3 x 23 = 6693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6693

Therefore, the GCF of Fractions 630/291,8008/2231 is 14/6693

Least Common Multiple of 291,2231 with GCF Formula

Least Common Multiple of 291,2231 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 291,2231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,2231) = 97

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

GCF(291,2231) x common factors =97 x 1 = 97

LCM(291,2231) = ( 291 × 2231 ) / 97

LCM(291,2231) = 649221 / 97

LCM(291,2231) = 6693


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 630/291, 8008/2231

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 630/291, 8008/2231?

Answer: GCF of Numerators as per given numbers 630/291, 8008/2231 is

GCF of Numerators i.e. for 630,8008 is 14

LCM of denominators i.e. for 291,2231 is 6693.

Thus, GCF of Fractions is 14/6693.Finally, GCF of Fractions for 630/291, 8008/2231 is 14/6693.