How to Find GCF of 4643/240, 5238/2597?

GCF of 4643/240, 5238/2597

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 4643/240, 5238/2597 i.e 1/623280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4643/240, 5238/2597.

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 4643/240,5238/2597?

Given fractions are 4643/240,5238/2597

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 4643/240,5238/2597, numerators are 4643,5238

Denominators are 240,2597

The GCF of 4643,5238 is 1 .

LCM of 240,2597 is 623280.

The greatest common factor of 4643/240,5238/2597 = [GCF of 4643,5238]/[LCM of 240,2597]= 1/623280

Therefore, the GCF of 4643/240,5238/2597 is 1/623280.

Greatest Common Factor of 4643,5238

To find the highest common factor of 4643,5238, we have to find the factors of both numbers and list the highest common factor.

The factors of 4643 are 1, 4643

The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238

The HCF of 4643,5238 is 1.

Lets's calculate GCF of 4643,5238

Greatest Common Factor (GCF) of 4643,5238 By Common Division

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

Greatest Common Factor of 4643,5238 By Matching Biggest Common Factor Method

Now, list down the factors of 4643

1,4643

Now, list down the factors of 5238

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

Greatest Common Factor

We found the factors 4643,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 4643,5238 is 1.

Lets's calculate LCM of 240,2597

Lowest Common Multiple of 240,2597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 623280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623280

Therefore, the GCF of Fractions 4643/240,5238/2597 is 1/623280

Least Common Multiple of 240,2597 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 240,2597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,2597) = 1

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

GCF(240,2597) x common factors =1 x 1 = 1

LCM(240,2597) = ( 240 × 2597 ) / 1

LCM(240,2597) = 623280 / 1

LCM(240,2597) = 623280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4643/240, 5238/2597

1. What is the HCF of 4643,5238?

The HCF of 4643,5238 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 4643/240, 5238/2597?

Answer: GCF of Numerators as per given numbers 4643/240, 5238/2597 is

GCF of Numerators i.e. for 4643,5238 is 1

LCM of denominators i.e. for 240,2597 is 623280.

Thus, GCF of Fractions is 1/623280.Finally, GCF of Fractions for 4643/240, 5238/2597 is 1/623280.