Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/274,864/388,167/303
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 91,864,167
Greatest Common Factor of Numerators i.e. GCF of 91,864,167 is 1 .
LCM of Denominators means LCM of 274,388,303 as per the given fractions.
LCM of 274,388,303 is 16106268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,864,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 91,864,167 . The biggest common factor number is the GCF number.
So the greatest common factor 91,864,167 is 1.
Lets's calculate LCM of 274,388,303
2 | 274, 388, 303 |
137, 194, 303 |
∴ So the LCM of the given numbers is 2 x 137 x 194 x 303 = 16106268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16106268
Therefore, the GCF of Fractions 91/274,864/388,167/303 is 1/16106268
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 274,388,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,388,303) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(274,388,303) x common factors =1 x 2 = 2
LCM(274,388,303) = ( 274 × 388 × 303 ) / 2
LCM(274,388,303) = 32212536 / 2
LCM(274,388,303) = 16106268
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 91/274, 864/388, 167/303?
Answer: GCF of Numerators as per given numbers 91/274, 864/388, 167/303 is
GCF of Numerators i.e. for 91,864,167 is 1
LCM of denominators i.e. for 274,388,303 is 16106268.
Thus, GCF of Fractions is 1/16106268.Finally, GCF of Fractions for 91/274, 864/388, 167/303 is 1/16106268.