GCF of 7157/720, 8025/4636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7157/720, 8025/4636 i.e 1/834480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/720, 8025/4636.
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 7157/720,8025/4636?
Given fractions are 7157/720,8025/4636
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 7157/720,8025/4636, numerators are 7157,8025
Denominators are 720,4636
The GCF of 7157,8025 is 1 .
LCM of 720,4636 is 834480.
The greatest common factor of 7157/720,8025/4636 = [GCF of 7157,8025]/[LCM of 720,4636]= 1/834480
Therefore, the GCF of 7157/720,8025/4636 is 1/834480.
To find the highest common factor of 7157,8025, we have to find the factors of both numbers and list the highest common factor.
The factors of 7157 are 1, 17, 421, 7157
The factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
The HCF of 7157,8025 is 1.
Lets's calculate GCF of 7157,8025
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7157,8025 By Matching Biggest Common Factor Method
Now, list down the factors of 7157
:1,17,421,7157
Now, list down the factors of 8025
:1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors 7157,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,8025 is 1.
Lets's calculate LCM of 720,4636
| 2 | 720, 4636 |
| 2 | 360, 2318 |
| 180, 1159 |
∴ So the LCM of the given numbers is 2 x 2 x 180 x 1159 = 834480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834480
Therefore, the GCF of Fractions 7157/720,8025/4636 is 1/834480
Least Common Multiple of 720,4636 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 720,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,4636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(720,4636) x common factors =4 x 1 = 4
LCM(720,4636) = ( 720 × 4636 ) / 4
LCM(720,4636) = 3337920 / 4
LCM(720,4636) = 834480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7157/720, 8025/4636
1. What is the HCF of 7157,8025?
The HCF of 7157,8025 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 7157/720, 8025/4636?
Answer: GCF of Numerators as per given numbers 7157/720, 8025/4636 is
GCF of Numerators i.e. for 7157,8025 is 1
LCM of denominators i.e. for 720,4636 is 834480.
Thus, GCF of Fractions is 1/834480.Finally, GCF of Fractions for 7157/720, 8025/4636 is 1/834480.