Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9639/73,8909/266
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 9639,8909
Greatest Common Factor of Numerators i.e. GCF of 9639,8909 is 1 .
LCM of Denominators means LCM of 73,266 as per the given fractions.
LCM of 73,266 is 19418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9639,8909
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9639
List of positive integer factors of 9639 that divides 9639 without a remainder.
1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Factors of 8909
List of positive integer factors of 8909 that divides 8909 without a remainder.
1,59,151,8909
Greatest Common Factor
We found the factors 9639,8909 . The biggest common factor number is the GCF number.
So the greatest common factor 9639,8909 is 1.
Lets's calculate LCM of 73,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 19418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19418
Therefore, the GCF of Fractions 9639/73,8909/266 is 1/19418
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 73,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,266) x common factors =1 x 1 = 1
LCM(73,266) = ( 73 × 266 ) / 1
LCM(73,266) = 19418 / 1
LCM(73,266) = 19418
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 9639/73, 8909/266?
Answer: GCF of Numerators as per given numbers 9639/73, 8909/266 is
GCF of Numerators i.e. for 9639,8909 is 1
LCM of denominators i.e. for 73,266 is 19418.
Thus, GCF of Fractions is 1/19418.Finally, GCF of Fractions for 9639/73, 8909/266 is 1/19418.