How to Find GCF of 91/54, 312/53, 897/541?

GCF of 91/54, 312/53, 897/541

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 91/54, 312/53, 897/541 i.e 13/1548342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/54, 312/53, 897/541.

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 91/54,312/53,897/541?

Given fractions are 91/54,312/53,897/541

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 91/54,312/53,897/541, numerators are 91,312,897

Denominators are 54,53,541

The GCF of 91,312,897 is 13 .

LCM of 54,53,541 is 1548342.

The greatest common factor of 91/54,312/53,897/541 = [GCF of 91,312,897]/[LCM of 54,53,541]= 13/1548342

Therefore, the GCF of 91/54,312/53,897/541 is 13/1548342.

Greatest Common Factor of 91,312,897

To find the highest common factor of 91,312,897, 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 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897

The HCF of 91,312,897 is 13.

Lets's calculate GCF of 91,312,897

Greatest Common Factor (GCF) of 91,312,897 By Common Division

13	91, 312, 897
	7, 24, 69

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 91,312,897 By Matching Biggest Common Factor Method

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 312

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Now, list down the factors of 897

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 91,312,897 . The biggest common factor number is the GCF number.
So the greatest common factor 91,312,897 is 13.

Lets's calculate LCM of 54,53,541

Lowest Common Multiple of 54,53,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1548342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1548342

Therefore, the GCF of Fractions 91/54,312/53,897/541 is 13/1548342

Least Common Multiple of 54,53,541 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 54,53,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,53,541) = 1

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

GCF(54,53,541) x common factors =1 x 1 = 1

LCM(54,53,541) = ( 54 × 53 × 541 ) / 1

LCM(54,53,541) = 1548342 / 1

LCM(54,53,541) = 1548342

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 91/54, 312/53, 897/541

1. What is the HCF of 91,312,897?

The HCF of 91,312,897 is 13

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 91/54, 312/53, 897/541?

Answer: GCF of Numerators as per given numbers 91/54, 312/53, 897/541 is

GCF of Numerators i.e. for 91,312,897 is 13

LCM of denominators i.e. for 54,53,541 is 1548342.

Thus, GCF of Fractions is 13/1548342.Finally, GCF of Fractions for 91/54, 312/53, 897/541 is 13/1548342.