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GCF of 4913/285, 7551/3207

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 4913/285, 7551/3207 i.e 1/304665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4913/285, 7551/3207.

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 4913/285,7551/3207?

Given fractions are 4913/285,7551/3207

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 4913/285,7551/3207, numerators are 4913,7551

Denominators are 285,3207

The GCF of 4913,7551 is 1 .

LCM of 285,3207 is 304665.

The greatest common factor of 4913/285,7551/3207 = [GCF of 4913,7551]/[LCM of 285,3207]= 1/304665

Therefore, the GCF of 4913/285,7551/3207 is 1/304665.

Greatest Common Factor of 4913,7551

To find the highest common factor of 4913,7551, we have to find the factors of both numbers and list the highest common factor.

The factors of 4913 are 1, 17, 289, 4913

The factors of 7551 are 1, 3, 9, 839, 2517, 7551

The HCF of 4913,7551 is 1.

Lets's calculate GCF of 4913,7551

Greatest Common Factor (GCF) of 4913,7551 By Common Division

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

Greatest Common Factor of 4913,7551 By Matching Biggest Common Factor Method

Greatest Common Factor of 4913,7551 By Matching Biggest Common Factor Method

Now, list down the factors of 4913

:

1,17,289,4913

Now, list down the factors of 7551

:

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors 4913,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,7551 is 1.

Lets's calculate LCM of 285,3207

Lowest Common Multiple of 285,3207 using Common Division

3 285, 3207
95, 1069

∴ So the LCM of the given numbers is 3 x 95 x 1069 = 304665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304665

Therefore, the GCF of Fractions 4913/285,7551/3207 is 1/304665

Least Common Multiple of 285,3207 with GCF Formula

Least Common Multiple of 285,3207 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 285,3207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,3207) = 3

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

GCF(285,3207) x common factors =3 x 1 = 3

LCM(285,3207) = ( 285 × 3207 ) / 3

LCM(285,3207) = 913995 / 3

LCM(285,3207) = 304665


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4913/285, 7551/3207

1. What is the HCF of 4913,7551?

The HCF of 4913,7551 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 4913/285, 7551/3207?

Answer: GCF of Numerators as per given numbers 4913/285, 7551/3207 is

GCF of Numerators i.e. for 4913,7551 is 1

LCM of denominators i.e. for 285,3207 is 304665.

Thus, GCF of Fractions is 1/304665.Finally, GCF of Fractions for 4913/285, 7551/3207 is 1/304665.