Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1150/93,9164/425
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 1150,9164
Greatest Common Factor of Numerators i.e. GCF of 1150,9164 is 2 .
LCM of Denominators means LCM of 93,425 as per the given fractions.
LCM of 93,425 is 39525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1150,9164
2 | 1150, 9164 |
575, 4582 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1150
List of positive integer factors of 1150 that divides 1150 without a remainder.
1,2,5,10,23,25,46,50,115,230,575,1150
Factors of 9164
List of positive integer factors of 9164 that divides 9164 without a remainder.
1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 1150,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,9164 is 2.
Lets's calculate LCM of 93,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 39525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39525
Therefore, the GCF of Fractions 1150/93,9164/425 is 2/39525
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 93,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,425) x common factors =1 x 1 = 1
LCM(93,425) = ( 93 × 425 ) / 1
LCM(93,425) = 39525 / 1
LCM(93,425) = 39525
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 1150/93, 9164/425?
Answer: GCF of Numerators as per given numbers 1150/93, 9164/425 is
GCF of Numerators i.e. for 1150,9164 is 2
LCM of denominators i.e. for 93,425 is 39525.
Thus, GCF of Fractions is 2/39525.Finally, GCF of Fractions for 1150/93, 9164/425 is 2/39525.