Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/71,44/48,606/374
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 10,44,606
Greatest Common Factor of Numerators i.e. GCF of 10,44,606 is 2 .
LCM of Denominators means LCM of 71,48,374 as per the given fractions.
LCM of 71,48,374 is 637296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,44,606
2 | 10, 44, 606 |
5, 22, 303 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 10,44,606 . The biggest common factor number is the GCF number.
So the greatest common factor 10,44,606 is 2.
Lets's calculate LCM of 71,48,374
2 | 71, 48, 374 |
71, 24, 187 |
∴ So the LCM of the given numbers is 2 x 71 x 24 x 187 = 637296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/637296
Therefore, the GCF of Fractions 10/71,44/48,606/374 is 2/637296
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 71,48,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,48,374) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,48,374) x common factors =1 x 2 = 2
LCM(71,48,374) = ( 71 × 48 × 374 ) / 2
LCM(71,48,374) = 1274592 / 2
LCM(71,48,374) = 637296
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 10/71, 44/48, 606/374?
Answer: GCF of Numerators as per given numbers 10/71, 44/48, 606/374 is
GCF of Numerators i.e. for 10,44,606 is 2
LCM of denominators i.e. for 71,48,374 is 637296.
Thus, GCF of Fractions is 2/637296.Finally, GCF of Fractions for 10/71, 44/48, 606/374 is 2/637296.