Greatest Common Factor of 811/550, 714/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/550, 714/998

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 811/550,714/998

Given fractions are 811/550,714/998

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 811,714

Greatest Common Factor of Numerators i.e. GCF of 811,714 is 1 .

LCM of Denominators means LCM of 550,998 as per the given fractions.

LCM of 550,998 is 274450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,714

GCF of Fractions 811/550,714/998 is 1/274450

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

Greatest Common Factor of 811,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,714 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 811,714 . The biggest common factor number is the GCF number.
So the greatest common factor 811,714 is 1.

Lets's calculate LCM of 550,998

2 550, 998
275, 499

∴ So the LCM of the given numbers is 2 x 275 x 499 = 274450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274450

Therefore, the GCF of Fractions 811/550,714/998 is 1/274450

Least Common Multiple of 550,998 with GCF Formula

Least Common Multiple of 550,998 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 550,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,998) = 2

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

GCF(550,998) x common factors =2 x 1 = 2

LCM(550,998) = ( 550 × 998 ) / 2

LCM(550,998) = 548900 / 2

LCM(550,998) = 274450


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 811/550, 714/998

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 811/550, 714/998?

Answer: GCF of Numerators as per given numbers 811/550, 714/998 is

GCF of Numerators i.e. for 811,714 is 1

LCM of denominators i.e. for 550,998 is 274450.

Thus, GCF of Fractions is 1/274450.Finally, GCF of Fractions for 811/550, 714/998 is 1/274450.