Greatest Common Factor of 1099/51, 8990/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1099/51, 8990/676

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 1099/51,8990/676

Given fractions are 1099/51,8990/676

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 1099,8990

Greatest Common Factor of Numerators i.e. GCF of 1099,8990 is 1 .

LCM of Denominators means LCM of 51,676 as per the given fractions.

LCM of 51,676 is 34476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1099,8990

GCF of Fractions 1099/51,8990/676 is 1/34476

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

Greatest Common Factor of 1099,8990 By Matching Biggest Common Factor Method

Greatest Common Factor of 1099,8990 By Matching Biggest Common Factor Method

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1,7,157,1099

Factors of 8990

List of positive integer factors of 8990 that divides 8990 without a remainder.

1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990

Greatest Common Factor

We found the factors 1099,8990 . The biggest common factor number is the GCF number.
So the greatest common factor 1099,8990 is 1.

Lets's calculate LCM of 51,676

Given numbers has no common factors except 1. So, there LCM is their product i.e 34476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34476

Therefore, the GCF of Fractions 1099/51,8990/676 is 1/34476

Least Common Multiple of 51,676 with GCF Formula

Least Common Multiple of 51,676 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 51,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,676) = 1

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

GCF(51,676) x common factors =1 x 1 = 1

LCM(51,676) = ( 51 × 676 ) / 1

LCM(51,676) = 34476 / 1

LCM(51,676) = 34476


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 1099/51, 8990/676

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 1099/51, 8990/676?

Answer: GCF of Numerators as per given numbers 1099/51, 8990/676 is

GCF of Numerators i.e. for 1099,8990 is 1

LCM of denominators i.e. for 51,676 is 34476.

Thus, GCF of Fractions is 1/34476.Finally, GCF of Fractions for 1099/51, 8990/676 is 1/34476.