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GCF of 4897/204, 7313/2743

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 4897/204, 7313/2743 i.e 1/559572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4897/204, 7313/2743.

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 4897/204,7313/2743?

Given fractions are 4897/204,7313/2743

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 4897/204,7313/2743, numerators are 4897,7313

Denominators are 204,2743

The GCF of 4897,7313 is 1 .

LCM of 204,2743 is 559572.

The greatest common factor of 4897/204,7313/2743 = [GCF of 4897,7313]/[LCM of 204,2743]= 1/559572

Therefore, the GCF of 4897/204,7313/2743 is 1/559572.

Greatest Common Factor of 4897,7313

To find the highest common factor of 4897,7313, we have to find the factors of both numbers and list the highest common factor.

The factors of 4897 are 1, 59, 83, 4897

The factors of 7313 are 1, 71, 103, 7313

The HCF of 4897,7313 is 1.

Lets's calculate GCF of 4897,7313

Greatest Common Factor (GCF) of 4897,7313 By Common Division

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

Greatest Common Factor of 4897,7313 By Matching Biggest Common Factor Method

Greatest Common Factor of 4897,7313 By Matching Biggest Common Factor Method

Now, list down the factors of 4897

:

1,59,83,4897

Now, list down the factors of 7313

:

1,71,103,7313

Greatest Common Factor

We found the factors 4897,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 4897,7313 is 1.

Lets's calculate LCM of 204,2743

Lowest Common Multiple of 204,2743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 559572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559572

Therefore, the GCF of Fractions 4897/204,7313/2743 is 1/559572

Least Common Multiple of 204,2743 with GCF Formula

Least Common Multiple of 204,2743 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 204,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2743) = 1

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

GCF(204,2743) x common factors =1 x 1 = 1

LCM(204,2743) = ( 204 × 2743 ) / 1

LCM(204,2743) = 559572 / 1

LCM(204,2743) = 559572


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FAQs on GCF of Fractions of 4897/204, 7313/2743

1. What is the HCF of 4897,7313?

The HCF of 4897,7313 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 4897/204, 7313/2743?

Answer: GCF of Numerators as per given numbers 4897/204, 7313/2743 is

GCF of Numerators i.e. for 4897,7313 is 1

LCM of denominators i.e. for 204,2743 is 559572.

Thus, GCF of Fractions is 1/559572.Finally, GCF of Fractions for 4897/204, 7313/2743 is 1/559572.