How to Find GCF of 91/99, 41/45, 937/179?

GCF of 91/99, 41/45, 937/179

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 91/99, 41/45, 937/179 i.e 1/88605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/99, 41/45, 937/179.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 91/99,41/45,937/179?

Given fractions are 91/99,41/45,937/179

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 91/99,41/45,937/179, numerators are 91,41,937

Denominators are 99,45,179

The GCF of 91,41,937 is 1 .

LCM of 99,45,179 is 88605.

The greatest common factor of 91/99,41/45,937/179 = [GCF of 91,41,937]/[LCM of 99,45,179]= 1/88605

Therefore, the GCF of 91/99,41/45,937/179 is 1/88605.

Greatest Common Factor of 91,41,937

To find the highest common factor of 91,41,937, we have to find the factors of both numbers and list the highest common factor.

The factors of 91 are 1, 7, 13, 91

The factors of 41 are 1, 41

The factors of 937 are 1, 937

The HCF of 91,41,937 is 1.

Lets's calculate GCF of 91,41,937

Greatest Common Factor (GCF) of 91,41,937 By Common Division

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

Greatest Common Factor of 91,41,937 By Matching Biggest Common Factor Method

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 41

1,41

Now, list down the factors of 937

1,937

Greatest Common Factor

We found the factors 91,41,937 . The biggest common factor number is the GCF number.
So the greatest common factor 91,41,937 is 1.

Lets's calculate LCM of 99,45,179

Lowest Common Multiple of 99,45,179 using Common Division

3	99, 45, 179
3	33, 15, 179
	11, 5, 179

∴ So the LCM of the given numbers is 3 x 3 x 11 x 5 x 179 = 88605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88605

Therefore, the GCF of Fractions 91/99,41/45,937/179 is 1/88605

Least Common Multiple of 99,45,179 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 99,45,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,45,179) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(99,45,179) x common factors =1 x 9 = 9

LCM(99,45,179) = ( 99 × 45 × 179 ) / 9

LCM(99,45,179) = 797445 / 9

LCM(99,45,179) = 88605

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 91/99, 41/45, 937/179

1. What is the HCF of 91,41,937?

The HCF of 91,41,937 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 91/99, 41/45, 937/179?

Answer: GCF of Numerators as per given numbers 91/99, 41/45, 937/179 is

GCF of Numerators i.e. for 91,41,937 is 1

LCM of denominators i.e. for 99,45,179 is 88605.

Thus, GCF of Fractions is 1/88605.Finally, GCF of Fractions for 91/99, 41/45, 937/179 is 1/88605.