Greatest Common Factor of 77/98, 73/77, 96/98, 759/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/98, 73/77, 96/98, 759/79

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 77/98,73/77,96/98,759/79

Given fractions are 77/98,73/77,96/98,759/79

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 77,73,96,759

Greatest Common Factor of Numerators i.e. GCF of 77,73,96,759 is 1 .

LCM of Denominators means LCM of 98,77,98,79 as per the given fractions.

LCM of 98,77,98,79 is 85162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,73,96,759

GCF of Fractions 77/98,73/77,96/98,759/79 is 1/85162

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

Greatest Common Factor of 77,73,96,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,73,96,759 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 77,73,96,759 . The biggest common factor number is the GCF number.
So the greatest common factor 77,73,96,759 is 1.

Lets's calculate LCM of 98,77,98,79

2 98, 77, 98, 79
7 49, 77, 49, 79
7 7, 11, 7, 79
1, 11, 1, 79

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 11 x 1 x 79 = 85162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85162

Therefore, the GCF of Fractions 77/98,73/77,96/98,759/79 is 1/85162

Least Common Multiple of 98,77,98,79 with GCF Formula

Least Common Multiple of 98,77,98,79 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 98,77,98,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,77,98,79) = 1

common factors(in case of two or more numbers have common factors) = 686

GCF(98,77,98,79) x common factors =1 x 686 = 686

LCM(98,77,98,79) = ( 98 × 77 × 98 × 79 ) / 686

LCM(98,77,98,79) = 58421132 / 686

LCM(98,77,98,79) = 85162


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 77/98, 73/77, 96/98, 759/79

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 77/98, 73/77, 96/98, 759/79?

Answer: GCF of Numerators as per given numbers 77/98, 73/77, 96/98, 759/79 is

GCF of Numerators i.e. for 77,73,96,759 is 1

LCM of denominators i.e. for 98,77,98,79 is 85162.

Thus, GCF of Fractions is 1/85162.Finally, GCF of Fractions for 77/98, 73/77, 96/98, 759/79 is 1/85162.