GCF of 2629/522, 9080/7723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2629/522, 9080/7723 i.e 1/4031406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2629/522, 9080/7723.
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 2629/522,9080/7723?
Given fractions are 2629/522,9080/7723
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 2629/522,9080/7723, numerators are 2629,9080
Denominators are 522,7723
The GCF of 2629,9080 is 1 .
LCM of 522,7723 is 4031406.
The greatest common factor of 2629/522,9080/7723 = [GCF of 2629,9080]/[LCM of 522,7723]= 1/4031406
Therefore, the GCF of 2629/522,9080/7723 is 1/4031406.
To find the highest common factor of 2629,9080, we have to find the factors of both numbers and list the highest common factor.
The factors of 2629 are 1, 11, 239, 2629
The factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080
The HCF of 2629,9080 is 1.
Lets's calculate GCF of 2629,9080
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2629,9080 By Matching Biggest Common Factor Method
Now, list down the factors of 2629
:1,11,239,2629
Now, list down the factors of 9080
:1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Greatest Common Factor
We found the factors 2629,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 2629,9080 is 1.
Lets's calculate LCM of 522,7723
Given numbers has no common factors except 1. So, there LCM is their product i.e 4031406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4031406
Therefore, the GCF of Fractions 2629/522,9080/7723 is 1/4031406
Least Common Multiple of 522,7723 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 522,7723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,7723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,7723) x common factors =1 x 1 = 1
LCM(522,7723) = ( 522 × 7723 ) / 1
LCM(522,7723) = 4031406 / 1
LCM(522,7723) = 4031406
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2629/522, 9080/7723
1. What is the HCF of 2629,9080?
The HCF of 2629,9080 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 2629/522, 9080/7723?
Answer: GCF of Numerators as per given numbers 2629/522, 9080/7723 is
GCF of Numerators i.e. for 2629,9080 is 1
LCM of denominators i.e. for 522,7723 is 4031406.
Thus, GCF of Fractions is 1/4031406.Finally, GCF of Fractions for 2629/522, 9080/7723 is 1/4031406.