Greatest Common Factor of 7018/988, 5597/6840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7018/988, 5597/6840

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 7018/988,5597/6840

Given fractions are 7018/988,5597/6840

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 7018,5597

Greatest Common Factor of Numerators i.e. GCF of 7018,5597 is 29 .

LCM of Denominators means LCM of 988,6840 as per the given fractions.

LCM of 988,6840 is 88920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7018,5597

GCF of Fractions 7018/988,5597/6840 is 29/88920

29 7018, 5597
242, 193

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 7018,5597 By Matching Biggest Common Factor Method

Greatest Common Factor of 7018,5597 By Matching Biggest Common Factor Method

Factors of 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1,2,11,22,29,58,121,242,319,638,3509,7018

Factors of 5597

List of positive integer factors of 5597 that divides 5597 without a remainder.

1,29,193,5597

Greatest Common Factor

We found the factors 7018,5597 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,5597 is 29.

Lets's calculate LCM of 988,6840

2 988, 6840
2 494, 3420
19 247, 1710
13, 90

∴ So the LCM of the given numbers is 2 x 2 x 19 x 13 x 90 = 88920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/88920

Therefore, the GCF of Fractions 7018/988,5597/6840 is 29/88920

Least Common Multiple of 988,6840 with GCF Formula

Least Common Multiple of 988,6840 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 988,6840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,6840) = 76

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

GCF(988,6840) x common factors =76 x 1 = 76

LCM(988,6840) = ( 988 × 6840 ) / 76

LCM(988,6840) = 6757920 / 76

LCM(988,6840) = 88920


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 7018/988, 5597/6840

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 7018/988, 5597/6840?

Answer: GCF of Numerators as per given numbers 7018/988, 5597/6840 is

GCF of Numerators i.e. for 7018,5597 is 29

LCM of denominators i.e. for 988,6840 is 88920.

Thus, GCF of Fractions is 29/88920.Finally, GCF of Fractions for 7018/988, 5597/6840 is 29/88920.