GCF of 4339/686, 7997/2621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4339/686, 7997/2621 i.e 1/1798006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4339/686, 7997/2621.
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 4339/686,7997/2621?
Given fractions are 4339/686,7997/2621
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 4339/686,7997/2621, numerators are 4339,7997
Denominators are 686,2621
The GCF of 4339,7997 is 1 .
LCM of 686,2621 is 1798006.
The greatest common factor of 4339/686,7997/2621 = [GCF of 4339,7997]/[LCM of 686,2621]= 1/1798006
Therefore, the GCF of 4339/686,7997/2621 is 1/1798006.
To find the highest common factor of 4339,7997, we have to find the factors of both numbers and list the highest common factor.
The factors of 4339 are 1, 4339
The factors of 7997 are 1, 11, 727, 7997
The HCF of 4339,7997 is 1.
Lets's calculate GCF of 4339,7997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4339,7997 By Matching Biggest Common Factor Method
Now, list down the factors of 4339
:1,4339
Now, list down the factors of 7997
:1,11,727,7997
Greatest Common Factor
We found the factors 4339,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 4339,7997 is 1.
Lets's calculate LCM of 686,2621
Given numbers has no common factors except 1. So, there LCM is their product i.e 1798006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1798006
Therefore, the GCF of Fractions 4339/686,7997/2621 is 1/1798006
Least Common Multiple of 686,2621 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 686,2621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,2621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,2621) x common factors =1 x 1 = 1
LCM(686,2621) = ( 686 × 2621 ) / 1
LCM(686,2621) = 1798006 / 1
LCM(686,2621) = 1798006
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4339/686, 7997/2621
1. What is the HCF of 4339,7997?
The HCF of 4339,7997 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 4339/686, 7997/2621?
Answer: GCF of Numerators as per given numbers 4339/686, 7997/2621 is
GCF of Numerators i.e. for 4339,7997 is 1
LCM of denominators i.e. for 686,2621 is 1798006.
Thus, GCF of Fractions is 1/1798006.Finally, GCF of Fractions for 4339/686, 7997/2621 is 1/1798006.