Greatest Common Factor of 514/42, 232/77, 340/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/42, 232/77, 340/26

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 514/42,232/77,340/26

Given fractions are 514/42,232/77,340/26

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 514,232,340

Greatest Common Factor of Numerators i.e. GCF of 514,232,340 is 2 .

LCM of Denominators means LCM of 42,77,26 as per the given fractions.

LCM of 42,77,26 is 6006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,232,340

GCF of Fractions 514/42,232/77,340/26 is 2/6006

2 514, 232, 340
257, 116, 170

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

Greatest Common Factor of 514,232,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,232,340 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 514,232,340 . The biggest common factor number is the GCF number.
So the greatest common factor 514,232,340 is 2.

Lets's calculate LCM of 42,77,26

2 42, 77, 26
7 21, 77, 13
3, 11, 13

∴ So the LCM of the given numbers is 2 x 7 x 3 x 11 x 13 = 6006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6006

Therefore, the GCF of Fractions 514/42,232/77,340/26 is 2/6006

Least Common Multiple of 42,77,26 with GCF Formula

Least Common Multiple of 42,77,26 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 42,77,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,77,26) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,77,26) x common factors =1 x 14 = 14

LCM(42,77,26) = ( 42 × 77 × 26 ) / 14

LCM(42,77,26) = 84084 / 14

LCM(42,77,26) = 6006


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 514/42, 232/77, 340/26

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 514/42, 232/77, 340/26?

Answer: GCF of Numerators as per given numbers 514/42, 232/77, 340/26 is

GCF of Numerators i.e. for 514,232,340 is 2

LCM of denominators i.e. for 42,77,26 is 6006.

Thus, GCF of Fractions is 2/6006.Finally, GCF of Fractions for 514/42, 232/77, 340/26 is 2/6006.