Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9249/85,2571/944
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 9249,2571
Greatest Common Factor of Numerators i.e. GCF of 9249,2571 is 3 .
LCM of Denominators means LCM of 85,944 as per the given fractions.
LCM of 85,944 is 80240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9249,2571
3 | 9249, 2571 |
3083, 857 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9249
List of positive integer factors of 9249 that divides 9249 without a remainder.
1,3,3083,9249
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1,3,857,2571
Greatest Common Factor
We found the factors 9249,2571 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,2571 is 3.
Lets's calculate LCM of 85,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 80240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80240
Therefore, the GCF of Fractions 9249/85,2571/944 is 3/80240
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 85,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,944) x common factors =1 x 1 = 1
LCM(85,944) = ( 85 × 944 ) / 1
LCM(85,944) = 80240 / 1
LCM(85,944) = 80240
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 9249/85, 2571/944?
Answer: GCF of Numerators as per given numbers 9249/85, 2571/944 is
GCF of Numerators i.e. for 9249,2571 is 3
LCM of denominators i.e. for 85,944 is 80240.
Thus, GCF of Fractions is 3/80240.Finally, GCF of Fractions for 9249/85, 2571/944 is 3/80240.