Greatest Common Factor of 98/517, 772/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/517, 772/659

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 98/517,772/659

Given fractions are 98/517,772/659

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 98,772

Greatest Common Factor of Numerators i.e. GCF of 98,772 is 2 .

LCM of Denominators means LCM of 517,659 as per the given fractions.

LCM of 517,659 is 340703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,772

GCF of Fractions 98/517,772/659 is 2/340703

2 98, 772
49, 386

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,772 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 98,772 . The biggest common factor number is the GCF number.
So the greatest common factor 98,772 is 2.

Lets's calculate LCM of 517,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 340703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/340703

Therefore, the GCF of Fractions 98/517,772/659 is 2/340703

Least Common Multiple of 517,659 with GCF Formula

Least Common Multiple of 517,659 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 517,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,659) = 1

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

GCF(517,659) x common factors =1 x 1 = 1

LCM(517,659) = ( 517 × 659 ) / 1

LCM(517,659) = 340703 / 1

LCM(517,659) = 340703


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 98/517, 772/659

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 98/517, 772/659?

Answer: GCF of Numerators as per given numbers 98/517, 772/659 is

GCF of Numerators i.e. for 98,772 is 2

LCM of denominators i.e. for 517,659 is 340703.

Thus, GCF of Fractions is 2/340703.Finally, GCF of Fractions for 98/517, 772/659 is 2/340703.