Greatest Common Factor of 519/694, 2752/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 519/694, 2752/308

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 519/694,2752/308

Given fractions are 519/694,2752/308

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 519,2752

Greatest Common Factor of Numerators i.e. GCF of 519,2752 is 1 .

LCM of Denominators means LCM of 694,308 as per the given fractions.

LCM of 694,308 is 106876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 519,2752

GCF of Fractions 519/694,2752/308 is 1/106876

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

Greatest Common Factor of 519,2752 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,2752 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Greatest Common Factor

We found the factors 519,2752 . The biggest common factor number is the GCF number.
So the greatest common factor 519,2752 is 1.

Lets's calculate LCM of 694,308

2 694, 308
347, 154

∴ So the LCM of the given numbers is 2 x 347 x 154 = 106876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106876

Therefore, the GCF of Fractions 519/694,2752/308 is 1/106876

Least Common Multiple of 694,308 with GCF Formula

Least Common Multiple of 694,308 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 694,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,308) = 2

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

GCF(694,308) x common factors =2 x 1 = 2

LCM(694,308) = ( 694 × 308 ) / 2

LCM(694,308) = 213752 / 2

LCM(694,308) = 106876


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 519/694, 2752/308

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 519/694, 2752/308?

Answer: GCF of Numerators as per given numbers 519/694, 2752/308 is

GCF of Numerators i.e. for 519,2752 is 1

LCM of denominators i.e. for 694,308 is 106876.

Thus, GCF of Fractions is 1/106876.Finally, GCF of Fractions for 519/694, 2752/308 is 1/106876.