Greatest Common Factor of 7098/584, 8583/1714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7098/584, 8583/1714

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 7098/584,8583/1714

Given fractions are 7098/584,8583/1714

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 7098,8583

Greatest Common Factor of Numerators i.e. GCF of 7098,8583 is 3 .

LCM of Denominators means LCM of 584,1714 as per the given fractions.

LCM of 584,1714 is 500488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7098,8583

GCF of Fractions 7098/584,8583/1714 is 3/500488

3 7098, 8583
2366, 2861

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7098,8583 By Matching Biggest Common Factor Method

Greatest Common Factor of 7098,8583 By Matching Biggest Common Factor Method

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Factors of 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1,3,2861,8583

Greatest Common Factor

We found the factors 7098,8583 . The biggest common factor number is the GCF number.
So the greatest common factor 7098,8583 is 3.

Lets's calculate LCM of 584,1714

2 584, 1714
292, 857

∴ So the LCM of the given numbers is 2 x 292 x 857 = 500488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/500488

Therefore, the GCF of Fractions 7098/584,8583/1714 is 3/500488

Least Common Multiple of 584,1714 with GCF Formula

Least Common Multiple of 584,1714 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 584,1714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,1714) = 2

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

GCF(584,1714) x common factors =2 x 1 = 2

LCM(584,1714) = ( 584 × 1714 ) / 2

LCM(584,1714) = 1000976 / 2

LCM(584,1714) = 500488


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 7098/584, 8583/1714

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 7098/584, 8583/1714?

Answer: GCF of Numerators as per given numbers 7098/584, 8583/1714 is

GCF of Numerators i.e. for 7098,8583 is 3

LCM of denominators i.e. for 584,1714 is 500488.

Thus, GCF of Fractions is 3/500488.Finally, GCF of Fractions for 7098/584, 8583/1714 is 3/500488.