Greatest Common Factor of 943/807, 9225/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 943/807, 9225/854

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 943/807,9225/854

Given fractions are 943/807,9225/854

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 943,9225

Greatest Common Factor of Numerators i.e. GCF of 943,9225 is 41 .

LCM of Denominators means LCM of 807,854 as per the given fractions.

LCM of 807,854 is 689178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 943,9225

GCF of Fractions 943/807,9225/854 is 41/689178

41 943, 9225
23, 225

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 943,9225 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,9225 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 9225

List of positive integer factors of 9225 that divides 9225 without a remainder.

1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225

Greatest Common Factor

We found the factors 943,9225 . The biggest common factor number is the GCF number.
So the greatest common factor 943,9225 is 41.

Lets's calculate LCM of 807,854

Given numbers has no common factors except 1. So, there LCM is their product i.e 689178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/689178

Therefore, the GCF of Fractions 943/807,9225/854 is 41/689178

Least Common Multiple of 807,854 with GCF Formula

Least Common Multiple of 807,854 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 807,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,854) = 1

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

GCF(807,854) x common factors =1 x 1 = 1

LCM(807,854) = ( 807 × 854 ) / 1

LCM(807,854) = 689178 / 1

LCM(807,854) = 689178


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 943/807, 9225/854

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 943/807, 9225/854?

Answer: GCF of Numerators as per given numbers 943/807, 9225/854 is

GCF of Numerators i.e. for 943,9225 is 41

LCM of denominators i.e. for 807,854 is 689178.

Thus, GCF of Fractions is 41/689178.Finally, GCF of Fractions for 943/807, 9225/854 is 41/689178.