Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1250/465,3579/908
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 1250,3579
Greatest Common Factor of Numerators i.e. GCF of 1250,3579 is 1 .
LCM of Denominators means LCM of 465,908 as per the given fractions.
LCM of 465,908 is 422220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1250,3579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1,2,5,10,25,50,125,250,625,1250
Factors of 3579
List of positive integer factors of 3579 that divides 3579 without a remainder.
1,3,1193,3579
Greatest Common Factor
We found the factors 1250,3579 . The biggest common factor number is the GCF number.
So the greatest common factor 1250,3579 is 1.
Lets's calculate LCM of 465,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 422220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422220
Therefore, the GCF of Fractions 1250/465,3579/908 is 1/422220
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 465,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,908) x common factors =1 x 1 = 1
LCM(465,908) = ( 465 × 908 ) / 1
LCM(465,908) = 422220 / 1
LCM(465,908) = 422220
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 1250/465, 3579/908?
Answer: GCF of Numerators as per given numbers 1250/465, 3579/908 is
GCF of Numerators i.e. for 1250,3579 is 1
LCM of denominators i.e. for 465,908 is 422220.
Thus, GCF of Fractions is 1/422220.Finally, GCF of Fractions for 1250/465, 3579/908 is 1/422220.