How to Find GCF of 54/52, 542/89, 941/315?

GCF of 54/52, 542/89, 941/315

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 54/52, 542/89, 941/315 i.e 1/1457820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/52, 542/89, 941/315.

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 54/52,542/89,941/315?

Given fractions are 54/52,542/89,941/315

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 54/52,542/89,941/315, numerators are 54,542,941

Denominators are 52,89,315

The GCF of 54,542,941 is 1 .

LCM of 52,89,315 is 1457820.

The greatest common factor of 54/52,542/89,941/315 = [GCF of 54,542,941]/[LCM of 52,89,315]= 1/1457820

Therefore, the GCF of 54/52,542/89,941/315 is 1/1457820.

Greatest Common Factor of 54,542,941

To find the highest common factor of 54,542,941, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 542 are 1, 2, 271, 542

The factors of 941 are 1, 941

The HCF of 54,542,941 is 1.

Lets's calculate GCF of 54,542,941

Greatest Common Factor (GCF) of 54,542,941 By Common Division

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

Greatest Common Factor of 54,542,941 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 542

1,2,271,542

Now, list down the factors of 941

1,941

Greatest Common Factor

We found the factors 54,542,941 . The biggest common factor number is the GCF number.
So the greatest common factor 54,542,941 is 1.

Lets's calculate LCM of 52,89,315

Lowest Common Multiple of 52,89,315 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1457820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1457820

Therefore, the GCF of Fractions 54/52,542/89,941/315 is 1/1457820

Least Common Multiple of 52,89,315 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 52,89,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,89,315) = 1

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

GCF(52,89,315) x common factors =1 x 1 = 1

LCM(52,89,315) = ( 52 × 89 × 315 ) / 1

LCM(52,89,315) = 1457820 / 1

LCM(52,89,315) = 1457820

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 54/52, 542/89, 941/315

1. What is the HCF of 54,542,941?

The HCF of 54,542,941 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 54/52, 542/89, 941/315?

Answer: GCF of Numerators as per given numbers 54/52, 542/89, 941/315 is

GCF of Numerators i.e. for 54,542,941 is 1

LCM of denominators i.e. for 52,89,315 is 1457820.

Thus, GCF of Fractions is 1/1457820.Finally, GCF of Fractions for 54/52, 542/89, 941/315 is 1/1457820.