Greatest Common Factor of 493/68, 686/45, 381/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/68, 686/45, 381/76

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 493/68,686/45,381/76

Given fractions are 493/68,686/45,381/76

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 493,686,381

Greatest Common Factor of Numerators i.e. GCF of 493,686,381 is 1 .

LCM of Denominators means LCM of 68,45,76 as per the given fractions.

LCM of 68,45,76 is 58140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,686,381

GCF of Fractions 493/68,686/45,381/76 is 1/58140

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

Greatest Common Factor of 493,686,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,686,381 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 493,686,381 . The biggest common factor number is the GCF number.
So the greatest common factor 493,686,381 is 1.

Lets's calculate LCM of 68,45,76

2 68, 45, 76
2 34, 45, 38
17, 45, 19

∴ So the LCM of the given numbers is 2 x 2 x 17 x 45 x 19 = 58140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58140

Therefore, the GCF of Fractions 493/68,686/45,381/76 is 1/58140

Least Common Multiple of 68,45,76 with GCF Formula

Least Common Multiple of 68,45,76 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 68,45,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,45,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,45,76) x common factors =1 x 4 = 4

LCM(68,45,76) = ( 68 × 45 × 76 ) / 4

LCM(68,45,76) = 232560 / 4

LCM(68,45,76) = 58140


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 493/68, 686/45, 381/76

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 493/68, 686/45, 381/76?

Answer: GCF of Numerators as per given numbers 493/68, 686/45, 381/76 is

GCF of Numerators i.e. for 493,686,381 is 1

LCM of denominators i.e. for 68,45,76 is 58140.

Thus, GCF of Fractions is 1/58140.Finally, GCF of Fractions for 493/68, 686/45, 381/76 is 1/58140.