Greatest Common Factor of 5817/879, 7111/1684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5817/879, 7111/1684

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 5817/879,7111/1684

Given fractions are 5817/879,7111/1684

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 5817,7111

Greatest Common Factor of Numerators i.e. GCF of 5817,7111 is 1 .

LCM of Denominators means LCM of 879,1684 as per the given fractions.

LCM of 879,1684 is 1480236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5817,7111

GCF of Fractions 5817/879,7111/1684 is 1/1480236

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

Greatest Common Factor of 5817,7111 By Matching Biggest Common Factor Method

Greatest Common Factor of 5817,7111 By Matching Biggest Common Factor Method

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1,3,7,21,277,831,1939,5817

Factors of 7111

List of positive integer factors of 7111 that divides 7111 without a remainder.

1,13,547,7111

Greatest Common Factor

We found the factors 5817,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 5817,7111 is 1.

Lets's calculate LCM of 879,1684

Given numbers has no common factors except 1. So, there LCM is their product i.e 1480236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1480236

Therefore, the GCF of Fractions 5817/879,7111/1684 is 1/1480236

Least Common Multiple of 879,1684 with GCF Formula

Least Common Multiple of 879,1684 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 879,1684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,1684) = 1

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

GCF(879,1684) x common factors =1 x 1 = 1

LCM(879,1684) = ( 879 × 1684 ) / 1

LCM(879,1684) = 1480236 / 1

LCM(879,1684) = 1480236


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 5817/879, 7111/1684

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 5817/879, 7111/1684?

Answer: GCF of Numerators as per given numbers 5817/879, 7111/1684 is

GCF of Numerators i.e. for 5817,7111 is 1

LCM of denominators i.e. for 879,1684 is 1480236.

Thus, GCF of Fractions is 1/1480236.Finally, GCF of Fractions for 5817/879, 7111/1684 is 1/1480236.