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GCF of 289/791, 8139/695

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 289/791, 8139/695 i.e 1/549745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/791, 8139/695.

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 289/791,8139/695?

Given fractions are 289/791,8139/695

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 289/791,8139/695, numerators are 289,8139

Denominators are 791,695

The GCF of 289,8139 is 1 .

LCM of 791,695 is 549745.

The greatest common factor of 289/791,8139/695 = [GCF of 289,8139]/[LCM of 791,695]= 1/549745

Therefore, the GCF of 289/791,8139/695 is 1/549745.

Greatest Common Factor of 289,8139

To find the highest common factor of 289,8139, we have to find the factors of both numbers and list the highest common factor.

The factors of 289 are 1, 17, 289

The factors of 8139 are 1, 3, 2713, 8139

The HCF of 289,8139 is 1.

Lets's calculate GCF of 289,8139

Greatest Common Factor (GCF) of 289,8139 By Common Division

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

Greatest Common Factor of 289,8139 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,8139 By Matching Biggest Common Factor Method

Now, list down the factors of 289

:

1,17,289

Now, list down the factors of 8139

:

1,3,2713,8139

Greatest Common Factor

We found the factors 289,8139 . The biggest common factor number is the GCF number.
So the greatest common factor 289,8139 is 1.


Lets's calculate LCM of 791,695

Lowest Common Multiple of 791,695 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 549745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549745

Therefore, the GCF of Fractions 289/791,8139/695 is 1/549745

Least Common Multiple of 791,695 with GCF Formula

Least Common Multiple of 791,695 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 791,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,695) = 1

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

GCF(791,695) x common factors =1 x 1 = 1

LCM(791,695) = ( 791 × 695 ) / 1

LCM(791,695) = 549745 / 1

LCM(791,695) = 549745


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 289/791, 8139/695

1. What is the HCF of 289,8139?

The HCF of 289,8139 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 289/791, 8139/695?

Answer: GCF of Numerators as per given numbers 289/791, 8139/695 is

GCF of Numerators i.e. for 289,8139 is 1

LCM of denominators i.e. for 791,695 is 549745.

Thus, GCF of Fractions is 1/549745.Finally, GCF of Fractions for 289/791, 8139/695 is 1/549745.