Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/224,11/840,198/342
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 93,11,198
Greatest Common Factor of Numerators i.e. GCF of 93,11,198 is 1 .
LCM of Denominators means LCM of 224,840,342 as per the given fractions.
LCM of 224,840,342 is 191520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,11,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 93,11,198 . The biggest common factor number is the GCF number.
So the greatest common factor 93,11,198 is 1.
Lets's calculate LCM of 224,840,342
2 | 224, 840, 342 |
2 | 112, 420, 171 |
2 | 56, 210, 171 |
3 | 28, 105, 171 |
7 | 28, 35, 57 |
4, 5, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 4 x 5 x 57 = 191520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191520
Therefore, the GCF of Fractions 93/224,11/840,198/342 is 1/191520
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 224,840,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,840,342) = 2
common factors(in case of two or more numbers have common factors) = 168
GCF(224,840,342) x common factors =2 x 168 = 336
LCM(224,840,342) = ( 224 × 840 × 342 ) / 336
LCM(224,840,342) = 64350720 / 336
LCM(224,840,342) = 191520
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 93/224, 11/840, 198/342?
Answer: GCF of Numerators as per given numbers 93/224, 11/840, 198/342 is
GCF of Numerators i.e. for 93,11,198 is 1
LCM of denominators i.e. for 224,840,342 is 191520.
Thus, GCF of Fractions is 1/191520.Finally, GCF of Fractions for 93/224, 11/840, 198/342 is 1/191520.