GCF of 7291/902, 5620/8134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7291/902, 5620/8134 i.e 1/3668434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7291/902, 5620/8134.
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 7291/902,5620/8134?
Given fractions are 7291/902,5620/8134
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 7291/902,5620/8134, numerators are 7291,5620
Denominators are 902,8134
The GCF of 7291,5620 is 1 .
LCM of 902,8134 is 3668434.
The greatest common factor of 7291/902,5620/8134 = [GCF of 7291,5620]/[LCM of 902,8134]= 1/3668434
Therefore, the GCF of 7291/902,5620/8134 is 1/3668434.
To find the highest common factor of 7291,5620, we have to find the factors of both numbers and list the highest common factor.
The factors of 7291 are 1, 23, 317, 7291
The factors of 5620 are 1, 2, 4, 5, 10, 20, 281, 562, 1124, 1405, 2810, 5620
The HCF of 7291,5620 is 1.
Lets's calculate GCF of 7291,5620
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7291,5620 By Matching Biggest Common Factor Method
Now, list down the factors of 7291
:1,23,317,7291
Now, list down the factors of 5620
:1,2,4,5,10,20,281,562,1124,1405,2810,5620
Greatest Common Factor
We found the factors 7291,5620 . The biggest common factor number is the GCF number.
So the greatest common factor 7291,5620 is 1.
Lets's calculate LCM of 902,8134
| 2 | 902, 8134 |
| 451, 4067 |
∴ So the LCM of the given numbers is 2 x 451 x 4067 = 3668434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3668434
Therefore, the GCF of Fractions 7291/902,5620/8134 is 1/3668434
Least Common Multiple of 902,8134 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 902,8134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,8134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,8134) x common factors =2 x 1 = 2
LCM(902,8134) = ( 902 × 8134 ) / 2
LCM(902,8134) = 7336868 / 2
LCM(902,8134) = 3668434
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7291/902, 5620/8134
1. What is the HCF of 7291,5620?
The HCF of 7291,5620 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 7291/902, 5620/8134?
Answer: GCF of Numerators as per given numbers 7291/902, 5620/8134 is
GCF of Numerators i.e. for 7291,5620 is 1
LCM of denominators i.e. for 902,8134 is 3668434.
Thus, GCF of Fractions is 1/3668434.Finally, GCF of Fractions for 7291/902, 5620/8134 is 1/3668434.