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GCF of 549/424, 260/644

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 549/424, 260/644 i.e 1/68264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/424, 260/644.

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 549/424,260/644?

Given fractions are 549/424,260/644

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 549/424,260/644, numerators are 549,260

Denominators are 424,644

The GCF of 549,260 is 1 .

LCM of 424,644 is 68264.

The greatest common factor of 549/424,260/644 = [GCF of 549,260]/[LCM of 424,644]= 1/68264

Therefore, the GCF of 549/424,260/644 is 1/68264.

Greatest Common Factor of 549,260

To find the highest common factor of 549,260, we have to find the factors of both numbers and list the highest common factor.

The factors of 549 are 1, 3, 9, 61, 183, 549

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

The HCF of 549,260 is 1.

Lets's calculate GCF of 549,260

Greatest Common Factor (GCF) of 549,260 By Common Division

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

Greatest Common Factor of 549,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,260 By Matching Biggest Common Factor Method

Now, list down the factors of 549

:

1,3,9,61,183,549

Now, list down the factors of 260

:

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 549,260 . The biggest common factor number is the GCF number.
So the greatest common factor 549,260 is 1.

Lets's calculate LCM of 424,644

Lowest Common Multiple of 424,644 using Common Division

2 424, 644
2 212, 322
106, 161

∴ So the LCM of the given numbers is 2 x 2 x 106 x 161 = 68264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68264

Therefore, the GCF of Fractions 549/424,260/644 is 1/68264

Least Common Multiple of 424,644 with GCF Formula

Least Common Multiple of 424,644 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 424,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,644) = 4

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

GCF(424,644) x common factors =4 x 1 = 4

LCM(424,644) = ( 424 × 644 ) / 4

LCM(424,644) = 273056 / 4

LCM(424,644) = 68264


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FAQs on GCF of Fractions of 549/424, 260/644

1. What is the HCF of 549,260?

The HCF of 549,260 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 549/424, 260/644?

Answer: GCF of Numerators as per given numbers 549/424, 260/644 is

GCF of Numerators i.e. for 549,260 is 1

LCM of denominators i.e. for 424,644 is 68264.

Thus, GCF of Fractions is 1/68264.Finally, GCF of Fractions for 549/424, 260/644 is 1/68264.