Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9591/868,1181/2218
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 9591,1181
Greatest Common Factor of Numerators i.e. GCF of 9591,1181 is 1 .
LCM of Denominators means LCM of 868,2218 as per the given fractions.
LCM of 868,2218 is 962612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9591,1181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1,3,23,69,139,417,3197,9591
Factors of 1181
List of positive integer factors of 1181 that divides 1181 without a remainder.
1,1181
Greatest Common Factor
We found the factors 9591,1181 . The biggest common factor number is the GCF number.
So the greatest common factor 9591,1181 is 1.
Lets's calculate LCM of 868,2218
2 | 868, 2218 |
434, 1109 |
∴ So the LCM of the given numbers is 2 x 434 x 1109 = 962612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962612
Therefore, the GCF of Fractions 9591/868,1181/2218 is 1/962612
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 868,2218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,2218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(868,2218) x common factors =2 x 1 = 2
LCM(868,2218) = ( 868 × 2218 ) / 2
LCM(868,2218) = 1925224 / 2
LCM(868,2218) = 962612
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 9591/868, 1181/2218?
Answer: GCF of Numerators as per given numbers 9591/868, 1181/2218 is
GCF of Numerators i.e. for 9591,1181 is 1
LCM of denominators i.e. for 868,2218 is 962612.
Thus, GCF of Fractions is 1/962612.Finally, GCF of Fractions for 9591/868, 1181/2218 is 1/962612.