How to Find GCF of 5482/944, 8971/1541?

GCF of 5482/944, 8971/1541

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 5482/944, 8971/1541 i.e 1/1454704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/944, 8971/1541.

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 5482/944,8971/1541?

Given fractions are 5482/944,8971/1541

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 5482/944,8971/1541, numerators are 5482,8971

Denominators are 944,1541

The GCF of 5482,8971 is 1 .

LCM of 944,1541 is 1454704.

The greatest common factor of 5482/944,8971/1541 = [GCF of 5482,8971]/[LCM of 944,1541]= 1/1454704

Therefore, the GCF of 5482/944,8971/1541 is 1/1454704.

Greatest Common Factor of 5482,8971

To find the highest common factor of 5482,8971, we have to find the factors of both numbers and list the highest common factor.

The factors of 5482 are 1, 2, 2741, 5482

The factors of 8971 are 1, 8971

The HCF of 5482,8971 is 1.

Lets's calculate GCF of 5482,8971

Greatest Common Factor (GCF) of 5482,8971 By Common Division

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

Greatest Common Factor of 5482,8971 By Matching Biggest Common Factor Method

Now, list down the factors of 5482

1,2,2741,5482

Now, list down the factors of 8971

1,8971

Greatest Common Factor

We found the factors 5482,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,8971 is 1.

Lets's calculate LCM of 944,1541

Lowest Common Multiple of 944,1541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1454704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1454704

Therefore, the GCF of Fractions 5482/944,8971/1541 is 1/1454704

Least Common Multiple of 944,1541 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 944,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,1541) = 1

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

GCF(944,1541) x common factors =1 x 1 = 1

LCM(944,1541) = ( 944 × 1541 ) / 1

LCM(944,1541) = 1454704 / 1

LCM(944,1541) = 1454704

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5482/944, 8971/1541

1. What is the HCF of 5482,8971?

The HCF of 5482,8971 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 5482/944, 8971/1541?

Answer: GCF of Numerators as per given numbers 5482/944, 8971/1541 is

GCF of Numerators i.e. for 5482,8971 is 1

LCM of denominators i.e. for 944,1541 is 1454704.

Thus, GCF of Fractions is 1/1454704.Finally, GCF of Fractions for 5482/944, 8971/1541 is 1/1454704.