GCF of 9656/115, 9097/7977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9656/115, 9097/7977 i.e 1/917355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9656/115, 9097/7977.
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 9656/115,9097/7977?
Given fractions are 9656/115,9097/7977
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 9656/115,9097/7977, numerators are 9656,9097
Denominators are 115,7977
The GCF of 9656,9097 is 1 .
LCM of 115,7977 is 917355.
The greatest common factor of 9656/115,9097/7977 = [GCF of 9656,9097]/[LCM of 115,7977]= 1/917355
Therefore, the GCF of 9656/115,9097/7977 is 1/917355.
To find the highest common factor of 9656,9097, we have to find the factors of both numbers and list the highest common factor.
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The factors of 9097 are 1, 11, 827, 9097
The HCF of 9656,9097 is 1.
Lets's calculate GCF of 9656,9097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9656,9097 By Matching Biggest Common Factor Method
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Now, list down the factors of 9097
:1,11,827,9097
Greatest Common Factor
We found the factors 9656,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,9097 is 1.
Lets's calculate LCM of 115,7977
Given numbers has no common factors except 1. So, there LCM is their product i.e 917355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/917355
Therefore, the GCF of Fractions 9656/115,9097/7977 is 1/917355
Least Common Multiple of 115,7977 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 115,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,7977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,7977) x common factors =1 x 1 = 1
LCM(115,7977) = ( 115 × 7977 ) / 1
LCM(115,7977) = 917355 / 1
LCM(115,7977) = 917355
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9656/115, 9097/7977
1. What is the HCF of 9656,9097?
The HCF of 9656,9097 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 9656/115, 9097/7977?
Answer: GCF of Numerators as per given numbers 9656/115, 9097/7977 is
GCF of Numerators i.e. for 9656,9097 is 1
LCM of denominators i.e. for 115,7977 is 917355.
Thus, GCF of Fractions is 1/917355.Finally, GCF of Fractions for 9656/115, 9097/7977 is 1/917355.