Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/182,236/758,629/442
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 48,236,629
Greatest Common Factor of Numerators i.e. GCF of 48,236,629 is 1 .
LCM of Denominators means LCM of 182,758,442 as per the given fractions.
LCM of 182,758,442 is 1172626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,236,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 48,236,629 . The biggest common factor number is the GCF number.
So the greatest common factor 48,236,629 is 1.
Lets's calculate LCM of 182,758,442
2 | 182, 758, 442 |
13 | 91, 379, 221 |
7, 379, 17 |
∴ So the LCM of the given numbers is 2 x 13 x 7 x 379 x 17 = 1172626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1172626
Therefore, the GCF of Fractions 48/182,236/758,629/442 is 1/1172626
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 182,758,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,758,442) = 2
common factors(in case of two or more numbers have common factors) = 26
GCF(182,758,442) x common factors =2 x 26 = 52
LCM(182,758,442) = ( 182 × 758 × 442 ) / 52
LCM(182,758,442) = 60976552 / 52
LCM(182,758,442) = 1172626
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 48/182, 236/758, 629/442?
Answer: GCF of Numerators as per given numbers 48/182, 236/758, 629/442 is
GCF of Numerators i.e. for 48,236,629 is 1
LCM of denominators i.e. for 182,758,442 is 1172626.
Thus, GCF of Fractions is 1/1172626.Finally, GCF of Fractions for 48/182, 236/758, 629/442 is 1/1172626.