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GCF of 9249/402, 7203/2865

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 9249/402, 7203/2865 i.e 3/383910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9249/402, 7203/2865.

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 9249/402,7203/2865?

Given fractions are 9249/402,7203/2865

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 9249/402,7203/2865, numerators are 9249,7203

Denominators are 402,2865

The GCF of 9249,7203 is 3 .

LCM of 402,2865 is 383910.

The greatest common factor of 9249/402,7203/2865 = [GCF of 9249,7203]/[LCM of 402,2865]= 3/383910

Therefore, the GCF of 9249/402,7203/2865 is 3/383910.

Greatest Common Factor of 9249,7203

To find the highest common factor of 9249,7203, we have to find the factors of both numbers and list the highest common factor.

The factors of 9249 are 1, 3, 3083, 9249

The factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203

The HCF of 9249,7203 is 3.

Lets's calculate GCF of 9249,7203

Greatest Common Factor (GCF) of 9249,7203 By Common Division

3 9249, 7203
3083, 2401

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9249,7203 By Matching Biggest Common Factor Method

Greatest Common Factor of 9249,7203 By Matching Biggest Common Factor Method

Now, list down the factors of 9249

:

1,3,3083,9249

Now, list down the factors of 7203

:

1,3,7,21,49,147,343,1029,2401,7203

Greatest Common Factor

We found the factors 9249,7203 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,7203 is 3.


Lets's calculate LCM of 402,2865

Lowest Common Multiple of 402,2865 using Common Division

3 402, 2865
134, 955

∴ So the LCM of the given numbers is 3 x 134 x 955 = 383910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/383910

Therefore, the GCF of Fractions 9249/402,7203/2865 is 3/383910

Least Common Multiple of 402,2865 with GCF Formula

Least Common Multiple of 402,2865 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 402,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,2865) = 3

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

GCF(402,2865) x common factors =3 x 1 = 3

LCM(402,2865) = ( 402 × 2865 ) / 3

LCM(402,2865) = 1151730 / 3

LCM(402,2865) = 383910


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9249/402, 7203/2865

1. What is the HCF of 9249,7203?

The HCF of 9249,7203 is 3

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 9249/402, 7203/2865?

Answer: GCF of Numerators as per given numbers 9249/402, 7203/2865 is

GCF of Numerators i.e. for 9249,7203 is 3

LCM of denominators i.e. for 402,2865 is 383910.

Thus, GCF of Fractions is 3/383910.Finally, GCF of Fractions for 9249/402, 7203/2865 is 3/383910.