Greatest Common Factor of 99/630, 610/708, 987/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/630, 610/708, 987/844

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 99/630,610/708,987/844

Given fractions are 99/630,610/708,987/844

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 99,610,987

Greatest Common Factor of Numerators i.e. GCF of 99,610,987 is 1 .

LCM of Denominators means LCM of 630,708,844 as per the given fractions.

LCM of 630,708,844 is 15685740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,610,987

GCF of Fractions 99/630,610/708,987/844 is 1/15685740

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 99,610,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,610,987 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 99,610,987 . The biggest common factor number is the GCF number.
So the greatest common factor 99,610,987 is 1.

Lets's calculate LCM of 630,708,844

2 630, 708, 844
2 315, 354, 422
3 315, 177, 211
105, 59, 211

∴ So the LCM of the given numbers is 2 x 2 x 3 x 105 x 59 x 211 = 15685740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15685740

Therefore, the GCF of Fractions 99/630,610/708,987/844 is 1/15685740

Least Common Multiple of 630,708,844 with GCF Formula

Least Common Multiple of 630,708,844 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 630,708,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,708,844) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(630,708,844) x common factors =2 x 12 = 24

LCM(630,708,844) = ( 630 × 708 × 844 ) / 24

LCM(630,708,844) = 376457760 / 24

LCM(630,708,844) = 15685740


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 99/630, 610/708, 987/844

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 99/630, 610/708, 987/844?

Answer: GCF of Numerators as per given numbers 99/630, 610/708, 987/844 is

GCF of Numerators i.e. for 99,610,987 is 1

LCM of denominators i.e. for 630,708,844 is 15685740.

Thus, GCF of Fractions is 1/15685740.Finally, GCF of Fractions for 99/630, 610/708, 987/844 is 1/15685740.