Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8742/41,9398/725
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 8742,9398
Greatest Common Factor of Numerators i.e. GCF of 8742,9398 is 2 .
LCM of Denominators means LCM of 41,725 as per the given fractions.
LCM of 41,725 is 29725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8742,9398
2 | 8742, 9398 |
4371, 4699 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8742
List of positive integer factors of 8742 that divides 8742 without a remainder.
1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Factors of 9398
List of positive integer factors of 9398 that divides 9398 without a remainder.
1,2,37,74,127,254,4699,9398
Greatest Common Factor
We found the factors 8742,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 8742,9398 is 2.
Lets's calculate LCM of 41,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 29725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29725
Therefore, the GCF of Fractions 8742/41,9398/725 is 2/29725
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 41,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,725) x common factors =1 x 1 = 1
LCM(41,725) = ( 41 × 725 ) / 1
LCM(41,725) = 29725 / 1
LCM(41,725) = 29725
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 8742/41, 9398/725?
Answer: GCF of Numerators as per given numbers 8742/41, 9398/725 is
GCF of Numerators i.e. for 8742,9398 is 2
LCM of denominators i.e. for 41,725 is 29725.
Thus, GCF of Fractions is 2/29725.Finally, GCF of Fractions for 8742/41, 9398/725 is 2/29725.