Greatest Common Factor of 46/77, 58/52, 393/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/77, 58/52, 393/685

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 46/77,58/52,393/685

Given fractions are 46/77,58/52,393/685

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 46,58,393

Greatest Common Factor of Numerators i.e. GCF of 46,58,393 is 1 .

LCM of Denominators means LCM of 77,52,685 as per the given fractions.

LCM of 77,52,685 is 2742740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,58,393

GCF of Fractions 46/77,58/52,393/685 is 1/2742740

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

Greatest Common Factor of 46,58,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,58,393 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 46,58,393 . The biggest common factor number is the GCF number.
So the greatest common factor 46,58,393 is 1.

Lets's calculate LCM of 77,52,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 2742740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2742740

Therefore, the GCF of Fractions 46/77,58/52,393/685 is 1/2742740

Least Common Multiple of 77,52,685 with GCF Formula

Least Common Multiple of 77,52,685 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 77,52,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,52,685) = 1

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

GCF(77,52,685) x common factors =1 x 1 = 1

LCM(77,52,685) = ( 77 × 52 × 685 ) / 1

LCM(77,52,685) = 2742740 / 1

LCM(77,52,685) = 2742740


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 46/77, 58/52, 393/685

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 46/77, 58/52, 393/685?

Answer: GCF of Numerators as per given numbers 46/77, 58/52, 393/685 is

GCF of Numerators i.e. for 46,58,393 is 1

LCM of denominators i.e. for 77,52,685 is 2742740.

Thus, GCF of Fractions is 1/2742740.Finally, GCF of Fractions for 46/77, 58/52, 393/685 is 1/2742740.