Greatest Common Factor of 2/67, 85/91, 49/828, 194/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/67, 85/91, 49/828, 194/735

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 2/67,85/91,49/828,194/735

Given fractions are 2/67,85/91,49/828,194/735

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 2,85,49,194

Greatest Common Factor of Numerators i.e. GCF of 2,85,49,194 is 1 .

LCM of Denominators means LCM of 67,91,828,735 as per the given fractions.

LCM of 67,91,828,735 is 176691060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,85,49,194

GCF of Fractions 2/67,85/91,49/828,194/735 is 1/176691060

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

Greatest Common Factor of 2,85,49,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,85,49,194 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 2,85,49,194 . The biggest common factor number is the GCF number.
So the greatest common factor 2,85,49,194 is 1.

Lets's calculate LCM of 67,91,828,735

3 67, 91, 828, 735
7 67, 91, 276, 245
67, 13, 276, 35

∴ So the LCM of the given numbers is 3 x 7 x 67 x 13 x 276 x 35 = 176691060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176691060

Therefore, the GCF of Fractions 2/67,85/91,49/828,194/735 is 1/176691060

Least Common Multiple of 67,91,828,735 with GCF Formula

Least Common Multiple of 67,91,828,735 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 67,91,828,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,91,828,735) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(67,91,828,735) x common factors =1 x 21 = 21

LCM(67,91,828,735) = ( 67 × 91 × 828 × 735 ) / 21

LCM(67,91,828,735) = 3710512260 / 21

LCM(67,91,828,735) = 176691060


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 2/67, 85/91, 49/828, 194/735

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 2/67, 85/91, 49/828, 194/735?

Answer: GCF of Numerators as per given numbers 2/67, 85/91, 49/828, 194/735 is

GCF of Numerators i.e. for 2,85,49,194 is 1

LCM of denominators i.e. for 67,91,828,735 is 176691060.

Thus, GCF of Fractions is 1/176691060.Finally, GCF of Fractions for 2/67, 85/91, 49/828, 194/735 is 1/176691060.