Greatest Common Factor of 515/56, 294/64, 698/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 515/56, 294/64, 698/82

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 515/56,294/64,698/82

Given fractions are 515/56,294/64,698/82

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 515,294,698

Greatest Common Factor of Numerators i.e. GCF of 515,294,698 is 1 .

LCM of Denominators means LCM of 56,64,82 as per the given fractions.

LCM of 56,64,82 is 18368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 515,294,698

GCF of Fractions 515/56,294/64,698/82 is 1/18368

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

Greatest Common Factor of 515,294,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,294,698 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 515,294,698 . The biggest common factor number is the GCF number.
So the greatest common factor 515,294,698 is 1.

Lets's calculate LCM of 56,64,82

2 56, 64, 82
2 28, 32, 41
2 14, 16, 41
7, 8, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 8 x 41 = 18368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18368

Therefore, the GCF of Fractions 515/56,294/64,698/82 is 1/18368

Least Common Multiple of 56,64,82 with GCF Formula

Least Common Multiple of 56,64,82 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 56,64,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,64,82) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,64,82) x common factors =2 x 8 = 16

LCM(56,64,82) = ( 56 × 64 × 82 ) / 16

LCM(56,64,82) = 293888 / 16

LCM(56,64,82) = 18368


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 515/56, 294/64, 698/82

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 515/56, 294/64, 698/82?

Answer: GCF of Numerators as per given numbers 515/56, 294/64, 698/82 is

GCF of Numerators i.e. for 515,294,698 is 1

LCM of denominators i.e. for 56,64,82 is 18368.

Thus, GCF of Fractions is 1/18368.Finally, GCF of Fractions for 515/56, 294/64, 698/82 is 1/18368.