Greatest Common Factor of 8743/867, 2280/4391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8743/867, 2280/4391

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 8743/867,2280/4391

Given fractions are 8743/867,2280/4391

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 8743,2280

Greatest Common Factor of Numerators i.e. GCF of 8743,2280 is 1 .

LCM of Denominators means LCM of 867,4391 as per the given fractions.

LCM of 867,4391 is 3806997 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8743,2280

GCF of Fractions 8743/867,2280/4391 is 1/3806997

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

Greatest Common Factor of 8743,2280 By Matching Biggest Common Factor Method

Greatest Common Factor of 8743,2280 By Matching Biggest Common Factor Method

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1,7,1249,8743

Factors of 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280

Greatest Common Factor

We found the factors 8743,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 8743,2280 is 1.

Lets's calculate LCM of 867,4391

Given numbers has no common factors except 1. So, there LCM is their product i.e 3806997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3806997

Therefore, the GCF of Fractions 8743/867,2280/4391 is 1/3806997

Least Common Multiple of 867,4391 with GCF Formula

Least Common Multiple of 867,4391 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 867,4391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,4391) = 1

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

GCF(867,4391) x common factors =1 x 1 = 1

LCM(867,4391) = ( 867 × 4391 ) / 1

LCM(867,4391) = 3806997 / 1

LCM(867,4391) = 3806997


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 8743/867, 2280/4391

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 8743/867, 2280/4391?

Answer: GCF of Numerators as per given numbers 8743/867, 2280/4391 is

GCF of Numerators i.e. for 8743,2280 is 1

LCM of denominators i.e. for 867,4391 is 3806997.

Thus, GCF of Fractions is 1/3806997.Finally, GCF of Fractions for 8743/867, 2280/4391 is 1/3806997.