Greatest Common Factor of 91/30, 49/43, 91/63, 305/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/30, 49/43, 91/63, 305/35

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 91/30,49/43,91/63,305/35

Given fractions are 91/30,49/43,91/63,305/35

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 91,49,91,305

Greatest Common Factor of Numerators i.e. GCF of 91,49,91,305 is 1 .

LCM of Denominators means LCM of 30,43,63,35 as per the given fractions.

LCM of 30,43,63,35 is 27090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,49,91,305

GCF of Fractions 91/30,49/43,91/63,305/35 is 1/27090

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

Greatest Common Factor of 91,49,91,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,49,91,305 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 49

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

1,7,49

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 91,49,91,305 . The biggest common factor number is the GCF number.
So the greatest common factor 91,49,91,305 is 1.

Lets's calculate LCM of 30,43,63,35

3 30, 43, 63, 35
5 10, 43, 21, 35
7 2, 43, 21, 7
2, 43, 3, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 2 x 43 x 3 x 1 = 27090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27090

Therefore, the GCF of Fractions 91/30,49/43,91/63,305/35 is 1/27090

Least Common Multiple of 30,43,63,35 with GCF Formula

Least Common Multiple of 30,43,63,35 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 30,43,63,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,43,63,35) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(30,43,63,35) x common factors =1 x 105 = 105

LCM(30,43,63,35) = ( 30 × 43 × 63 × 35 ) / 105

LCM(30,43,63,35) = 2844450 / 105

LCM(30,43,63,35) = 27090


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 91/30, 49/43, 91/63, 305/35

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 91/30, 49/43, 91/63, 305/35?

Answer: GCF of Numerators as per given numbers 91/30, 49/43, 91/63, 305/35 is

GCF of Numerators i.e. for 91,49,91,305 is 1

LCM of denominators i.e. for 30,43,63,35 is 27090.

Thus, GCF of Fractions is 1/27090.Finally, GCF of Fractions for 91/30, 49/43, 91/63, 305/35 is 1/27090.