Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/612,5206/626
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 150,5206
Greatest Common Factor of Numerators i.e. GCF of 150,5206 is 2 .
LCM of Denominators means LCM of 612,626 as per the given fractions.
LCM of 612,626 is 191556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 150,5206
2 | 150, 5206 |
75, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 5206
List of positive integer factors of 5206 that divides 5206 without a remainder.
1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors 150,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 150,5206 is 2.
Lets's calculate LCM of 612,626
2 | 612, 626 |
306, 313 |
∴ So the LCM of the given numbers is 2 x 306 x 313 = 191556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191556
Therefore, the GCF of Fractions 150/612,5206/626 is 2/191556
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 612,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,626) x common factors =2 x 1 = 2
LCM(612,626) = ( 612 × 626 ) / 2
LCM(612,626) = 383112 / 2
LCM(612,626) = 191556
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 150/612, 5206/626?
Answer: GCF of Numerators as per given numbers 150/612, 5206/626 is
GCF of Numerators i.e. for 150,5206 is 2
LCM of denominators i.e. for 612,626 is 191556.
Thus, GCF of Fractions is 2/191556.Finally, GCF of Fractions for 150/612, 5206/626 is 2/191556.