GCF of 913/232, 4895/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/232, 4895/617 i.e 11/143144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/232, 4895/617.
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 913/232,4895/617?
Given fractions are 913/232,4895/617
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 913/232,4895/617, numerators are 913,4895
Denominators are 232,617
The GCF of 913,4895 is 11 .
LCM of 232,617 is 143144.
The greatest common factor of 913/232,4895/617 = [GCF of 913,4895]/[LCM of 232,617]= 11/143144
Therefore, the GCF of 913/232,4895/617 is 11/143144.
To find the highest common factor of 913,4895, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895
The HCF of 913,4895 is 11.
Lets's calculate GCF of 913,4895
| 11 | 913, 4895 |
| 83, 445 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 913,4895 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 4895
:1,5,11,55,89,445,979,4895
Greatest Common Factor
We found the factors 913,4895 . The biggest common factor number is the GCF number.
So the greatest common factor 913,4895 is 11.
Lets's calculate LCM of 232,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 143144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/143144
Therefore, the GCF of Fractions 913/232,4895/617 is 11/143144
Least Common Multiple of 232,617 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 232,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,617) x common factors =1 x 1 = 1
LCM(232,617) = ( 232 × 617 ) / 1
LCM(232,617) = 143144 / 1
LCM(232,617) = 143144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 913/232, 4895/617
1. What is the HCF of 913,4895?
The HCF of 913,4895 is 11
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 913/232, 4895/617?
Answer: GCF of Numerators as per given numbers 913/232, 4895/617 is
GCF of Numerators i.e. for 913,4895 is 11
LCM of denominators i.e. for 232,617 is 143144.
Thus, GCF of Fractions is 11/143144.Finally, GCF of Fractions for 913/232, 4895/617 is 11/143144.