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GCF of 8041/237, 8753/9876

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 8041/237, 8753/9876 i.e 1/780204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8041/237, 8753/9876.

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 8041/237,8753/9876?

Given fractions are 8041/237,8753/9876

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 8041/237,8753/9876, numerators are 8041,8753

Denominators are 237,9876

The GCF of 8041,8753 is 1 .

LCM of 237,9876 is 780204.

The greatest common factor of 8041/237,8753/9876 = [GCF of 8041,8753]/[LCM of 237,9876]= 1/780204

Therefore, the GCF of 8041/237,8753/9876 is 1/780204.

Greatest Common Factor of 8041,8753

To find the highest common factor of 8041,8753, we have to find the factors of both numbers and list the highest common factor.

The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041

The factors of 8753 are 1, 8753

The HCF of 8041,8753 is 1.

Lets's calculate GCF of 8041,8753

Greatest Common Factor (GCF) of 8041,8753 By Common Division

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

Greatest Common Factor of 8041,8753 By Matching Biggest Common Factor Method

Greatest Common Factor of 8041,8753 By Matching Biggest Common Factor Method

Now, list down the factors of 8041

:

1,11,17,43,187,473,731,8041

Now, list down the factors of 8753

:

1,8753

Greatest Common Factor

We found the factors 8041,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 8041,8753 is 1.

Lets's calculate LCM of 237,9876

Lowest Common Multiple of 237,9876 using Common Division

3 237, 9876
79, 3292

∴ So the LCM of the given numbers is 3 x 79 x 3292 = 780204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780204

Therefore, the GCF of Fractions 8041/237,8753/9876 is 1/780204

Least Common Multiple of 237,9876 with GCF Formula

Least Common Multiple of 237,9876 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 237,9876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,9876) = 3

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

GCF(237,9876) x common factors =3 x 1 = 3

LCM(237,9876) = ( 237 × 9876 ) / 3

LCM(237,9876) = 2340612 / 3

LCM(237,9876) = 780204


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8041/237, 8753/9876

1. What is the HCF of 8041,8753?

The HCF of 8041,8753 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 8041/237, 8753/9876?

Answer: GCF of Numerators as per given numbers 8041/237, 8753/9876 is

GCF of Numerators i.e. for 8041,8753 is 1

LCM of denominators i.e. for 237,9876 is 780204.

Thus, GCF of Fractions is 1/780204.Finally, GCF of Fractions for 8041/237, 8753/9876 is 1/780204.