How to Find GCF of 5086/992, 2377/6517?

GCF of 5086/992, 2377/6517

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 5086/992, 2377/6517 i.e 1/6464864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5086/992, 2377/6517.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5086/992,2377/6517?

Given fractions are 5086/992,2377/6517

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 5086/992,2377/6517, numerators are 5086,2377

Denominators are 992,6517

The GCF of 5086,2377 is 1 .

LCM of 992,6517 is 6464864.

The greatest common factor of 5086/992,2377/6517 = [GCF of 5086,2377]/[LCM of 992,6517]= 1/6464864

Therefore, the GCF of 5086/992,2377/6517 is 1/6464864.

Greatest Common Factor of 5086,2377

To find the highest common factor of 5086,2377, we have to find the factors of both numbers and list the highest common factor.

The factors of 5086 are 1, 2, 2543, 5086

The factors of 2377 are 1, 2377

The HCF of 5086,2377 is 1.

Lets's calculate GCF of 5086,2377

Greatest Common Factor (GCF) of 5086,2377 By Common Division

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

Greatest Common Factor of 5086,2377 By Matching Biggest Common Factor Method

Now, list down the factors of 5086

1,2,2543,5086

Now, list down the factors of 2377

1,2377

Greatest Common Factor

We found the factors 5086,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 5086,2377 is 1.

Lets's calculate LCM of 992,6517

Lowest Common Multiple of 992,6517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6464864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6464864

Therefore, the GCF of Fractions 5086/992,2377/6517 is 1/6464864

Least Common Multiple of 992,6517 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,6517) = 1

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

GCF(992,6517) x common factors =1 x 1 = 1

LCM(992,6517) = ( 992 × 6517 ) / 1

LCM(992,6517) = 6464864 / 1

LCM(992,6517) = 6464864

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FAQs on GCF of Fractions of 5086/992, 2377/6517

1. What is the HCF of 5086,2377?

The HCF of 5086,2377 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 5086/992, 2377/6517?

Answer: GCF of Numerators as per given numbers 5086/992, 2377/6517 is

GCF of Numerators i.e. for 5086,2377 is 1

LCM of denominators i.e. for 992,6517 is 6464864.

Thus, GCF of Fractions is 1/6464864.Finally, GCF of Fractions for 5086/992, 2377/6517 is 1/6464864.