Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/68,267/78,298/348
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 236,267,298
Greatest Common Factor of Numerators i.e. GCF of 236,267,298 is 1 .
LCM of Denominators means LCM of 68,78,348 as per the given fractions.
LCM of 68,78,348 is 76908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,267,298
∴ 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 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 236,267,298 . The biggest common factor number is the GCF number.
So the greatest common factor 236,267,298 is 1.
Lets's calculate LCM of 68,78,348
2 | 68, 78, 348 |
2 | 34, 39, 174 |
3 | 17, 39, 87 |
17, 13, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 13 x 29 = 76908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76908
Therefore, the GCF of Fractions 236/68,267/78,298/348 is 1/76908
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 68,78,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,78,348) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(68,78,348) x common factors =2 x 12 = 24
LCM(68,78,348) = ( 68 × 78 × 348 ) / 24
LCM(68,78,348) = 1845792 / 24
LCM(68,78,348) = 76908
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 236/68, 267/78, 298/348?
Answer: GCF of Numerators as per given numbers 236/68, 267/78, 298/348 is
GCF of Numerators i.e. for 236,267,298 is 1
LCM of denominators i.e. for 68,78,348 is 76908.
Thus, GCF of Fractions is 1/76908.Finally, GCF of Fractions for 236/68, 267/78, 298/348 is 1/76908.