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GCF of 2521/249, 5603/5440

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 2521/249, 5603/5440 i.e 1/1354560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2521/249, 5603/5440.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2521/249,5603/5440?

Given fractions are 2521/249,5603/5440

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 2521/249,5603/5440, numerators are 2521,5603

Denominators are 249,5440

The GCF of 2521,5603 is 1 .

LCM of 249,5440 is 1354560.

The greatest common factor of 2521/249,5603/5440 = [GCF of 2521,5603]/[LCM of 249,5440]= 1/1354560

Therefore, the GCF of 2521/249,5603/5440 is 1/1354560.

Greatest Common Factor of 2521,5603

To find the highest common factor of 2521,5603, we have to find the factors of both numbers and list the highest common factor.

The factors of 2521 are 1, 2521

The factors of 5603 are 1, 13, 431, 5603

The HCF of 2521,5603 is 1.

Lets's calculate GCF of 2521,5603

Greatest Common Factor (GCF) of 2521,5603 By Common Division

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

Greatest Common Factor of 2521,5603 By Matching Biggest Common Factor Method

Greatest Common Factor of 2521,5603 By Matching Biggest Common Factor Method

Now, list down the factors of 2521

:

1,2521

Now, list down the factors of 5603

:

1,13,431,5603

Greatest Common Factor

We found the factors 2521,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 2521,5603 is 1.

Lets's calculate LCM of 249,5440

Lowest Common Multiple of 249,5440 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1354560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1354560

Therefore, the GCF of Fractions 2521/249,5603/5440 is 1/1354560

Least Common Multiple of 249,5440 with GCF Formula

Least Common Multiple of 249,5440 with GCF Formula

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

We need to calculate greatest common factor of 249,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,5440) = 1

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

GCF(249,5440) x common factors =1 x 1 = 1

LCM(249,5440) = ( 249 × 5440 ) / 1

LCM(249,5440) = 1354560 / 1

LCM(249,5440) = 1354560


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FAQs on GCF of Fractions of 2521/249, 5603/5440

1. What is the HCF of 2521,5603?

The HCF of 2521,5603 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 2521/249, 5603/5440?

Answer: GCF of Numerators as per given numbers 2521/249, 5603/5440 is

GCF of Numerators i.e. for 2521,5603 is 1

LCM of denominators i.e. for 249,5440 is 1354560.

Thus, GCF of Fractions is 1/1354560.Finally, GCF of Fractions for 2521/249, 5603/5440 is 1/1354560.