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GCF of 7317/938, 1051/843

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 7317/938, 1051/843 i.e 1/790734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7317/938, 1051/843.

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 7317/938,1051/843?

Given fractions are 7317/938,1051/843

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 7317/938,1051/843, numerators are 7317,1051

Denominators are 938,843

The GCF of 7317,1051 is 1 .

LCM of 938,843 is 790734.

The greatest common factor of 7317/938,1051/843 = [GCF of 7317,1051]/[LCM of 938,843]= 1/790734

Therefore, the GCF of 7317/938,1051/843 is 1/790734.

Greatest Common Factor of 7317,1051

To find the highest common factor of 7317,1051, we have to find the factors of both numbers and list the highest common factor.

The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317

The factors of 1051 are 1, 1051

The HCF of 7317,1051 is 1.

Lets's calculate GCF of 7317,1051

Greatest Common Factor (GCF) of 7317,1051 By Common Division

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

Greatest Common Factor of 7317,1051 By Matching Biggest Common Factor Method

Greatest Common Factor of 7317,1051 By Matching Biggest Common Factor Method

Now, list down the factors of 7317

:

1,3,9,27,271,813,2439,7317

Now, list down the factors of 1051

:

1,1051

Greatest Common Factor

We found the factors 7317,1051 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,1051 is 1.

Lets's calculate LCM of 938,843

Lowest Common Multiple of 938,843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 790734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790734

Therefore, the GCF of Fractions 7317/938,1051/843 is 1/790734

Least Common Multiple of 938,843 with GCF Formula

Least Common Multiple of 938,843 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 938,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,843) = 1

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

GCF(938,843) x common factors =1 x 1 = 1

LCM(938,843) = ( 938 × 843 ) / 1

LCM(938,843) = 790734 / 1

LCM(938,843) = 790734


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7317/938, 1051/843

1. What is the HCF of 7317,1051?

The HCF of 7317,1051 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 7317/938, 1051/843?

Answer: GCF of Numerators as per given numbers 7317/938, 1051/843 is

GCF of Numerators i.e. for 7317,1051 is 1

LCM of denominators i.e. for 938,843 is 790734.

Thus, GCF of Fractions is 1/790734.Finally, GCF of Fractions for 7317/938, 1051/843 is 1/790734.