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GCF of 4321/245, 2539/4717

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 4321/245, 2539/4717 i.e 1/1155665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4321/245, 2539/4717.

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 4321/245,2539/4717?

Given fractions are 4321/245,2539/4717

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 4321/245,2539/4717, numerators are 4321,2539

Denominators are 245,4717

The GCF of 4321,2539 is 1 .

LCM of 245,4717 is 1155665.

The greatest common factor of 4321/245,2539/4717 = [GCF of 4321,2539]/[LCM of 245,4717]= 1/1155665

Therefore, the GCF of 4321/245,2539/4717 is 1/1155665.

Greatest Common Factor of 4321,2539

To find the highest common factor of 4321,2539, we have to find the factors of both numbers and list the highest common factor.

The factors of 4321 are 1, 29, 149, 4321

The factors of 2539 are 1, 2539

The HCF of 4321,2539 is 1.

Lets's calculate GCF of 4321,2539

Greatest Common Factor (GCF) of 4321,2539 By Common Division

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

Greatest Common Factor of 4321,2539 By Matching Biggest Common Factor Method

Greatest Common Factor of 4321,2539 By Matching Biggest Common Factor Method

Now, list down the factors of 4321

:

1,29,149,4321

Now, list down the factors of 2539

:

1,2539

Greatest Common Factor

We found the factors 4321,2539 . The biggest common factor number is the GCF number.
So the greatest common factor 4321,2539 is 1.

Lets's calculate LCM of 245,4717

Lowest Common Multiple of 245,4717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1155665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155665

Therefore, the GCF of Fractions 4321/245,2539/4717 is 1/1155665

Least Common Multiple of 245,4717 with GCF Formula

Least Common Multiple of 245,4717 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 245,4717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,4717) = 1

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

GCF(245,4717) x common factors =1 x 1 = 1

LCM(245,4717) = ( 245 × 4717 ) / 1

LCM(245,4717) = 1155665 / 1

LCM(245,4717) = 1155665


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FAQs on GCF of Fractions of 4321/245, 2539/4717

1. What is the HCF of 4321,2539?

The HCF of 4321,2539 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 4321/245, 2539/4717?

Answer: GCF of Numerators as per given numbers 4321/245, 2539/4717 is

GCF of Numerators i.e. for 4321,2539 is 1

LCM of denominators i.e. for 245,4717 is 1155665.

Thus, GCF of Fractions is 1/1155665.Finally, GCF of Fractions for 4321/245, 2539/4717 is 1/1155665.