Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/99,351/88,408/912
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 236,351,408
Greatest Common Factor of Numerators i.e. GCF of 236,351,408 is 1 .
LCM of Denominators means LCM of 99,88,912 as per the given fractions.
LCM of 99,88,912 is 30096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,351,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 236,351,408 . The biggest common factor number is the GCF number.
So the greatest common factor 236,351,408 is 1.
Lets's calculate LCM of 99,88,912
2 | 99, 88, 912 |
2 | 99, 44, 456 |
2 | 99, 22, 228 |
3 | 99, 11, 114 |
11 | 33, 11, 38 |
3, 1, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 3 x 1 x 38 = 30096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30096
Therefore, the GCF of Fractions 236/99,351/88,408/912 is 1/30096
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 99,88,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,88,912) = 1
common factors(in case of two or more numbers have common factors) = 264
GCF(99,88,912) x common factors =1 x 264 = 264
LCM(99,88,912) = ( 99 × 88 × 912 ) / 264
LCM(99,88,912) = 7945344 / 264
LCM(99,88,912) = 30096
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 236/99, 351/88, 408/912?
Answer: GCF of Numerators as per given numbers 236/99, 351/88, 408/912 is
GCF of Numerators i.e. for 236,351,408 is 1
LCM of denominators i.e. for 99,88,912 is 30096.
Thus, GCF of Fractions is 1/30096.Finally, GCF of Fractions for 236/99, 351/88, 408/912 is 1/30096.