Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/40,54/23,912/460
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 94,54,912
Greatest Common Factor of Numerators i.e. GCF of 94,54,912 is 2 .
LCM of Denominators means LCM of 40,23,460 as per the given fractions.
LCM of 40,23,460 is 920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,54,912
2 | 94, 54, 912 |
47, 27, 456 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 94,54,912 . The biggest common factor number is the GCF number.
So the greatest common factor 94,54,912 is 2.
Lets's calculate LCM of 40,23,460
2 | 40, 23, 460 |
2 | 20, 23, 230 |
5 | 10, 23, 115 |
23 | 2, 23, 23 |
2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 2 x 1 x 1 = 920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/920
Therefore, the GCF of Fractions 94/40,54/23,912/460 is 2/920
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 40,23,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,23,460) = 1
common factors(in case of two or more numbers have common factors) = 460
GCF(40,23,460) x common factors =1 x 460 = 460
LCM(40,23,460) = ( 40 × 23 × 460 ) / 460
LCM(40,23,460) = 423200 / 460
LCM(40,23,460) = 920
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 94/40, 54/23, 912/460?
Answer: GCF of Numerators as per given numbers 94/40, 54/23, 912/460 is
GCF of Numerators i.e. for 94,54,912 is 2
LCM of denominators i.e. for 40,23,460 is 920.
Thus, GCF of Fractions is 2/920.Finally, GCF of Fractions for 94/40, 54/23, 912/460 is 2/920.