Greatest Common Factor of 7/18, 89/45, 83/517, 860/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/18, 89/45, 83/517, 860/983

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 7/18,89/45,83/517,860/983

Given fractions are 7/18,89/45,83/517,860/983

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 7,89,83,860

Greatest Common Factor of Numerators i.e. GCF of 7,89,83,860 is 1 .

LCM of Denominators means LCM of 18,45,517,983 as per the given fractions.

LCM of 18,45,517,983 is 45738990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,89,83,860

GCF of Fractions 7/18,89/45,83/517,860/983 is 1/45738990

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

Greatest Common Factor of 7,89,83,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,89,83,860 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 7,89,83,860 . The biggest common factor number is the GCF number.
So the greatest common factor 7,89,83,860 is 1.

Lets's calculate LCM of 18,45,517,983

3 18, 45, 517, 983
3 6, 15, 517, 983
2, 5, 517, 983

∴ So the LCM of the given numbers is 3 x 3 x 2 x 5 x 517 x 983 = 45738990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45738990

Therefore, the GCF of Fractions 7/18,89/45,83/517,860/983 is 1/45738990

Least Common Multiple of 18,45,517,983 with GCF Formula

Least Common Multiple of 18,45,517,983 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 18,45,517,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,45,517,983) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,45,517,983) x common factors =1 x 9 = 9

LCM(18,45,517,983) = ( 18 × 45 × 517 × 983 ) / 9

LCM(18,45,517,983) = 411650910 / 9

LCM(18,45,517,983) = 45738990


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 7/18, 89/45, 83/517, 860/983

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 7/18, 89/45, 83/517, 860/983?

Answer: GCF of Numerators as per given numbers 7/18, 89/45, 83/517, 860/983 is

GCF of Numerators i.e. for 7,89,83,860 is 1

LCM of denominators i.e. for 18,45,517,983 is 45738990.

Thus, GCF of Fractions is 1/45738990.Finally, GCF of Fractions for 7/18, 89/45, 83/517, 860/983 is 1/45738990.