Greatest Common Factor of 3/82, 68/14, 57/754, 613/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/82, 68/14, 57/754, 613/505

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 3/82,68/14,57/754,613/505

Given fractions are 3/82,68/14,57/754,613/505

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 3,68,57,613

Greatest Common Factor of Numerators i.e. GCF of 3,68,57,613 is 1 .

LCM of Denominators means LCM of 82,14,754,505 as per the given fractions.

LCM of 82,14,754,505 is 109280990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,68,57,613

GCF of Fractions 3/82,68/14,57/754,613/505 is 1/109280990

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

Greatest Common Factor of 3,68,57,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,68,57,613 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 3,68,57,613 . The biggest common factor number is the GCF number.
So the greatest common factor 3,68,57,613 is 1.

Lets's calculate LCM of 82,14,754,505

2 82, 14, 754, 505
41, 7, 377, 505

∴ So the LCM of the given numbers is 2 x 41 x 7 x 377 x 505 = 109280990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109280990

Therefore, the GCF of Fractions 3/82,68/14,57/754,613/505 is 1/109280990

Least Common Multiple of 82,14,754,505 with GCF Formula

Least Common Multiple of 82,14,754,505 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 82,14,754,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,14,754,505) = 1

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

GCF(82,14,754,505) x common factors =1 x 4 = 4

LCM(82,14,754,505) = ( 82 × 14 × 754 × 505 ) / 4

LCM(82,14,754,505) = 437123960 / 4

LCM(82,14,754,505) = 109280990


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 3/82, 68/14, 57/754, 613/505

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 3/82, 68/14, 57/754, 613/505?

Answer: GCF of Numerators as per given numbers 3/82, 68/14, 57/754, 613/505 is

GCF of Numerators i.e. for 3,68,57,613 is 1

LCM of denominators i.e. for 82,14,754,505 is 109280990.

Thus, GCF of Fractions is 1/109280990.Finally, GCF of Fractions for 3/82, 68/14, 57/754, 613/505 is 1/109280990.