GCF of 8935/233, 9485/7015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8935/233, 9485/7015 i.e 5/1634495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8935/233, 9485/7015.
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 8935/233,9485/7015?
Given fractions are 8935/233,9485/7015
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 8935/233,9485/7015, numerators are 8935,9485
Denominators are 233,7015
The GCF of 8935,9485 is 5 .
LCM of 233,7015 is 1634495.
The greatest common factor of 8935/233,9485/7015 = [GCF of 8935,9485]/[LCM of 233,7015]= 5/1634495
Therefore, the GCF of 8935/233,9485/7015 is 5/1634495.
To find the highest common factor of 8935,9485, we have to find the factors of both numbers and list the highest common factor.
The factors of 8935 are 1, 5, 1787, 8935
The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485
The HCF of 8935,9485 is 5.
Lets's calculate GCF of 8935,9485
| 5 | 8935, 9485 |
| 1787, 1897 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8935,9485 By Matching Biggest Common Factor Method
Now, list down the factors of 8935
:1,5,1787,8935
Now, list down the factors of 9485
:1,5,7,35,271,1355,1897,9485
Greatest Common Factor
We found the factors 8935,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 8935,9485 is 5.
Lets's calculate LCM of 233,7015
Given numbers has no common factors except 1. So, there LCM is their product i.e 1634495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1634495
Therefore, the GCF of Fractions 8935/233,9485/7015 is 5/1634495
Least Common Multiple of 233,7015 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 233,7015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,7015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,7015) x common factors =1 x 1 = 1
LCM(233,7015) = ( 233 × 7015 ) / 1
LCM(233,7015) = 1634495 / 1
LCM(233,7015) = 1634495
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8935/233, 9485/7015
1. What is the HCF of 8935,9485?
The HCF of 8935,9485 is 5
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 8935/233, 9485/7015?
Answer: GCF of Numerators as per given numbers 8935/233, 9485/7015 is
GCF of Numerators i.e. for 8935,9485 is 5
LCM of denominators i.e. for 233,7015 is 1634495.
Thus, GCF of Fractions is 5/1634495.Finally, GCF of Fractions for 8935/233, 9485/7015 is 5/1634495.