How to Find GCF of 5087/747, 9305/8344?

GCF of 5087/747, 9305/8344

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 5087/747, 9305/8344 i.e 1/6232968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5087/747, 9305/8344.

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 5087/747,9305/8344?

Given fractions are 5087/747,9305/8344

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 5087/747,9305/8344, numerators are 5087,9305

Denominators are 747,8344

The GCF of 5087,9305 is 1 .

LCM of 747,8344 is 6232968.

The greatest common factor of 5087/747,9305/8344 = [GCF of 5087,9305]/[LCM of 747,8344]= 1/6232968

Therefore, the GCF of 5087/747,9305/8344 is 1/6232968.

Greatest Common Factor of 5087,9305

To find the highest common factor of 5087,9305, we have to find the factors of both numbers and list the highest common factor.

The factors of 5087 are 1, 5087

The factors of 9305 are 1, 5, 1861, 9305

The HCF of 5087,9305 is 1.

Lets's calculate GCF of 5087,9305

Greatest Common Factor (GCF) of 5087,9305 By Common Division

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

Greatest Common Factor of 5087,9305 By Matching Biggest Common Factor Method

Now, list down the factors of 5087

1,5087

Now, list down the factors of 9305

1,5,1861,9305

Greatest Common Factor

We found the factors 5087,9305 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,9305 is 1.

Lets's calculate LCM of 747,8344

Lowest Common Multiple of 747,8344 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6232968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6232968

Therefore, the GCF of Fractions 5087/747,9305/8344 is 1/6232968

Least Common Multiple of 747,8344 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 747,8344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,8344) = 1

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

GCF(747,8344) x common factors =1 x 1 = 1

LCM(747,8344) = ( 747 × 8344 ) / 1

LCM(747,8344) = 6232968 / 1

LCM(747,8344) = 6232968

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5087/747, 9305/8344

1. What is the HCF of 5087,9305?

The HCF of 5087,9305 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 5087/747, 9305/8344?

Answer: GCF of Numerators as per given numbers 5087/747, 9305/8344 is

GCF of Numerators i.e. for 5087,9305 is 1

LCM of denominators i.e. for 747,8344 is 6232968.

Thus, GCF of Fractions is 1/6232968.Finally, GCF of Fractions for 5087/747, 9305/8344 is 1/6232968.