How to Find GCF of 5039/866, 9977/7283?

GCF of 5039/866, 9977/7283

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 5039/866, 9977/7283 i.e 1/6307078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5039/866, 9977/7283.

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 5039/866,9977/7283?

Given fractions are 5039/866,9977/7283

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 5039/866,9977/7283, numerators are 5039,9977

Denominators are 866,7283

The GCF of 5039,9977 is 1 .

LCM of 866,7283 is 6307078.

The greatest common factor of 5039/866,9977/7283 = [GCF of 5039,9977]/[LCM of 866,7283]= 1/6307078

Therefore, the GCF of 5039/866,9977/7283 is 1/6307078.

Greatest Common Factor of 5039,9977

To find the highest common factor of 5039,9977, we have to find the factors of both numbers and list the highest common factor.

The factors of 5039 are 1, 5039

The factors of 9977 are 1, 11, 907, 9977

The HCF of 5039,9977 is 1.

Lets's calculate GCF of 5039,9977

Greatest Common Factor (GCF) of 5039,9977 By Common Division

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

Greatest Common Factor of 5039,9977 By Matching Biggest Common Factor Method

Now, list down the factors of 5039

1,5039

Now, list down the factors of 9977

1,11,907,9977

Greatest Common Factor

We found the factors 5039,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 5039,9977 is 1.

Lets's calculate LCM of 866,7283

Lowest Common Multiple of 866,7283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6307078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6307078

Therefore, the GCF of Fractions 5039/866,9977/7283 is 1/6307078

Least Common Multiple of 866,7283 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 866,7283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,7283) = 1

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

GCF(866,7283) x common factors =1 x 1 = 1

LCM(866,7283) = ( 866 × 7283 ) / 1

LCM(866,7283) = 6307078 / 1

LCM(866,7283) = 6307078

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5039/866, 9977/7283

1. What is the HCF of 5039,9977?

The HCF of 5039,9977 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 5039/866, 9977/7283?

Answer: GCF of Numerators as per given numbers 5039/866, 9977/7283 is

GCF of Numerators i.e. for 5039,9977 is 1

LCM of denominators i.e. for 866,7283 is 6307078.

Thus, GCF of Fractions is 1/6307078.Finally, GCF of Fractions for 5039/866, 9977/7283 is 1/6307078.