How to Find GCF of 8089/686, 4717/7748?

GCF of 8089/686, 4717/7748

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 8089/686, 4717/7748 i.e 1/2657564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8089/686, 4717/7748.

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 8089/686,4717/7748?

Given fractions are 8089/686,4717/7748

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 8089/686,4717/7748, numerators are 8089,4717

Denominators are 686,7748

The GCF of 8089,4717 is 1 .

LCM of 686,7748 is 2657564.

The greatest common factor of 8089/686,4717/7748 = [GCF of 8089,4717]/[LCM of 686,7748]= 1/2657564

Therefore, the GCF of 8089/686,4717/7748 is 1/2657564.

Greatest Common Factor of 8089,4717

To find the highest common factor of 8089,4717, we have to find the factors of both numbers and list the highest common factor.

The factors of 8089 are 1, 8089

The factors of 4717 are 1, 53, 89, 4717

The HCF of 8089,4717 is 1.

Lets's calculate GCF of 8089,4717

Greatest Common Factor (GCF) of 8089,4717 By Common Division

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

Greatest Common Factor of 8089,4717 By Matching Biggest Common Factor Method

Now, list down the factors of 8089

1,8089

Now, list down the factors of 4717

1,53,89,4717

Greatest Common Factor

We found the factors 8089,4717 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,4717 is 1.

Lets's calculate LCM of 686,7748

Lowest Common Multiple of 686,7748 using Common Division

2	686, 7748
	343, 3874

∴ So the LCM of the given numbers is 2 x 343 x 3874 = 2657564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2657564

Therefore, the GCF of Fractions 8089/686,4717/7748 is 1/2657564

Least Common Multiple of 686,7748 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 686,7748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,7748) = 2

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

GCF(686,7748) x common factors =2 x 1 = 2

LCM(686,7748) = ( 686 × 7748 ) / 2

LCM(686,7748) = 5315128 / 2

LCM(686,7748) = 2657564

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FAQs on GCF of Fractions of 8089/686, 4717/7748

1. What is the HCF of 8089,4717?

The HCF of 8089,4717 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 8089/686, 4717/7748?

Answer: GCF of Numerators as per given numbers 8089/686, 4717/7748 is

GCF of Numerators i.e. for 8089,4717 is 1

LCM of denominators i.e. for 686,7748 is 2657564.

Thus, GCF of Fractions is 1/2657564.Finally, GCF of Fractions for 8089/686, 4717/7748 is 1/2657564.