Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/26,388/67,330/126
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 291,388,330
Greatest Common Factor of Numerators i.e. GCF of 291,388,330 is 1 .
LCM of Denominators means LCM of 26,67,126 as per the given fractions.
LCM of 26,67,126 is 109746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 291,388,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 291,388,330 . The biggest common factor number is the GCF number.
So the greatest common factor 291,388,330 is 1.
Lets's calculate LCM of 26,67,126
2 | 26, 67, 126 |
13, 67, 63 |
∴ So the LCM of the given numbers is 2 x 13 x 67 x 63 = 109746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109746
Therefore, the GCF of Fractions 291/26,388/67,330/126 is 1/109746
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 26,67,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,67,126) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,67,126) x common factors =1 x 2 = 2
LCM(26,67,126) = ( 26 × 67 × 126 ) / 2
LCM(26,67,126) = 219492 / 2
LCM(26,67,126) = 109746
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 291/26, 388/67, 330/126?
Answer: GCF of Numerators as per given numbers 291/26, 388/67, 330/126 is
GCF of Numerators i.e. for 291,388,330 is 1
LCM of denominators i.e. for 26,67,126 is 109746.
Thus, GCF of Fractions is 1/109746.Finally, GCF of Fractions for 291/26, 388/67, 330/126 is 1/109746.