How to Find GCF of 5377/280, 2544/3543?

GCF of 5377/280, 2544/3543

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 5377/280, 2544/3543 i.e 1/992040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5377/280, 2544/3543.

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 5377/280,2544/3543?

Given fractions are 5377/280,2544/3543

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 5377/280,2544/3543, numerators are 5377,2544

Denominators are 280,3543

The GCF of 5377,2544 is 1 .

LCM of 280,3543 is 992040.

The greatest common factor of 5377/280,2544/3543 = [GCF of 5377,2544]/[LCM of 280,3543]= 1/992040

Therefore, the GCF of 5377/280,2544/3543 is 1/992040.

Greatest Common Factor of 5377,2544

To find the highest common factor of 5377,2544, we have to find the factors of both numbers and list the highest common factor.

The factors of 5377 are 1, 19, 283, 5377

The factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544

The HCF of 5377,2544 is 1.

Lets's calculate GCF of 5377,2544

Greatest Common Factor (GCF) of 5377,2544 By Common Division

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

Greatest Common Factor of 5377,2544 By Matching Biggest Common Factor Method

Now, list down the factors of 5377

1,19,283,5377

Now, list down the factors of 2544

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Greatest Common Factor

We found the factors 5377,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 5377,2544 is 1.

Lets's calculate LCM of 280,3543

Lowest Common Multiple of 280,3543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 992040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/992040

Therefore, the GCF of Fractions 5377/280,2544/3543 is 1/992040

Least Common Multiple of 280,3543 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 280,3543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,3543) = 1

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

GCF(280,3543) x common factors =1 x 1 = 1

LCM(280,3543) = ( 280 × 3543 ) / 1

LCM(280,3543) = 992040 / 1

LCM(280,3543) = 992040

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5377/280, 2544/3543

1. What is the HCF of 5377,2544?

The HCF of 5377,2544 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 5377/280, 2544/3543?

Answer: GCF of Numerators as per given numbers 5377/280, 2544/3543 is

GCF of Numerators i.e. for 5377,2544 is 1

LCM of denominators i.e. for 280,3543 is 992040.

Thus, GCF of Fractions is 1/992040.Finally, GCF of Fractions for 5377/280, 2544/3543 is 1/992040.