GCF of 8525/925, 7307/3215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8525/925, 7307/3215 i.e 1/594775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8525/925, 7307/3215.
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 8525/925,7307/3215?
Given fractions are 8525/925,7307/3215
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 8525/925,7307/3215, numerators are 8525,7307
Denominators are 925,3215
The GCF of 8525,7307 is 1 .
LCM of 925,3215 is 594775.
The greatest common factor of 8525/925,7307/3215 = [GCF of 8525,7307]/[LCM of 925,3215]= 1/594775
Therefore, the GCF of 8525/925,7307/3215 is 1/594775.
To find the highest common factor of 8525,7307, we have to find the factors of both numbers and list the highest common factor.
The factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525
The factors of 7307 are 1, 7307
The HCF of 8525,7307 is 1.
Lets's calculate GCF of 8525,7307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8525,7307 By Matching Biggest Common Factor Method
Now, list down the factors of 8525
:1,5,11,25,31,55,155,275,341,775,1705,8525
Now, list down the factors of 7307
:1,7307
Greatest Common Factor
We found the factors 8525,7307 . The biggest common factor number is the GCF number.
So the greatest common factor 8525,7307 is 1.
Lets's calculate LCM of 925,3215
| 5 | 925, 3215 |
| 185, 643 |
∴ So the LCM of the given numbers is 5 x 185 x 643 = 594775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594775
Therefore, the GCF of Fractions 8525/925,7307/3215 is 1/594775
Least Common Multiple of 925,3215 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 925,3215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,3215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,3215) x common factors =5 x 1 = 5
LCM(925,3215) = ( 925 × 3215 ) / 5
LCM(925,3215) = 2973875 / 5
LCM(925,3215) = 594775
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8525/925, 7307/3215
1. What is the HCF of 8525,7307?
The HCF of 8525,7307 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 8525/925, 7307/3215?
Answer: GCF of Numerators as per given numbers 8525/925, 7307/3215 is
GCF of Numerators i.e. for 8525,7307 is 1
LCM of denominators i.e. for 925,3215 is 594775.
Thus, GCF of Fractions is 1/594775.Finally, GCF of Fractions for 8525/925, 7307/3215 is 1/594775.