Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 596/174,2270/908
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 596,2270
Greatest Common Factor of Numerators i.e. GCF of 596,2270 is 2 .
LCM of Denominators means LCM of 174,908 as per the given fractions.
LCM of 174,908 is 78996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 596,2270
2 | 596, 2270 |
298, 1135 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 2270
List of positive integer factors of 2270 that divides 2270 without a remainder.
1,2,5,10,227,454,1135,2270
Greatest Common Factor
We found the factors 596,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 596,2270 is 2.
Lets's calculate LCM of 174,908
2 | 174, 908 |
87, 454 |
∴ So the LCM of the given numbers is 2 x 87 x 454 = 78996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78996
Therefore, the GCF of Fractions 596/174,2270/908 is 2/78996
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 174,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,908) x common factors =2 x 1 = 2
LCM(174,908) = ( 174 × 908 ) / 2
LCM(174,908) = 157992 / 2
LCM(174,908) = 78996
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 596/174, 2270/908?
Answer: GCF of Numerators as per given numbers 596/174, 2270/908 is
GCF of Numerators i.e. for 596,2270 is 2
LCM of denominators i.e. for 174,908 is 78996.
Thus, GCF of Fractions is 2/78996.Finally, GCF of Fractions for 596/174, 2270/908 is 2/78996.