Greatest Common Factor of 9774/851, 9767/6874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9774/851, 9767/6874

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 9774/851,9767/6874

Given fractions are 9774/851,9767/6874

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 9774,9767

Greatest Common Factor of Numerators i.e. GCF of 9774,9767 is 1 .

LCM of Denominators means LCM of 851,6874 as per the given fractions.

LCM of 851,6874 is 5849774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9774,9767

GCF of Fractions 9774/851,9767/6874 is 1/5849774

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

Greatest Common Factor of 9774,9767 By Matching Biggest Common Factor Method

Greatest Common Factor of 9774,9767 By Matching Biggest Common Factor Method

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Factors of 9767

List of positive integer factors of 9767 that divides 9767 without a remainder.

1,9767

Greatest Common Factor

We found the factors 9774,9767 . The biggest common factor number is the GCF number.
So the greatest common factor 9774,9767 is 1.

Lets's calculate LCM of 851,6874

Given numbers has no common factors except 1. So, there LCM is their product i.e 5849774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5849774

Therefore, the GCF of Fractions 9774/851,9767/6874 is 1/5849774

Least Common Multiple of 851,6874 with GCF Formula

Least Common Multiple of 851,6874 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 851,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,6874) = 1

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

GCF(851,6874) x common factors =1 x 1 = 1

LCM(851,6874) = ( 851 × 6874 ) / 1

LCM(851,6874) = 5849774 / 1

LCM(851,6874) = 5849774


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 9774/851, 9767/6874

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 9774/851, 9767/6874?

Answer: GCF of Numerators as per given numbers 9774/851, 9767/6874 is

GCF of Numerators i.e. for 9774,9767 is 1

LCM of denominators i.e. for 851,6874 is 5849774.

Thus, GCF of Fractions is 1/5849774.Finally, GCF of Fractions for 9774/851, 9767/6874 is 1/5849774.