Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8465/117,8665/8315
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8465,8665
Greatest Common Factor of Numerators i.e. GCF of 8465,8665 is 5 .
LCM of Denominators means LCM of 117,8315 as per the given fractions.
LCM of 117,8315 is 972855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8465,8665
5 | 8465, 8665 |
1693, 1733 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8465
List of positive integer factors of 8465 that divides 8465 without a remainder.
1,5,1693,8465
Factors of 8665
List of positive integer factors of 8665 that divides 8665 without a remainder.
1,5,1733,8665
Greatest Common Factor
We found the factors 8465,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 8465,8665 is 5.
Lets's calculate LCM of 117,8315
Given numbers has no common factors except 1. So, there LCM is their product i.e 972855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/972855
Therefore, the GCF of Fractions 8465/117,8665/8315 is 5/972855
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 117,8315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,8315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,8315) x common factors =1 x 1 = 1
LCM(117,8315) = ( 117 × 8315 ) / 1
LCM(117,8315) = 972855 / 1
LCM(117,8315) = 972855
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8465/117, 8665/8315?
Answer: GCF of Numerators as per given numbers 8465/117, 8665/8315 is
GCF of Numerators i.e. for 8465,8665 is 5
LCM of denominators i.e. for 117,8315 is 972855.
Thus, GCF of Fractions is 5/972855.Finally, GCF of Fractions for 8465/117, 8665/8315 is 5/972855.