Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/33,55/37,71/969,116/159
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 2,55,71,116
Greatest Common Factor of Numerators i.e. GCF of 2,55,71,116 is 1 .
LCM of Denominators means LCM of 33,37,969,159 as per the given fractions.
LCM of 33,37,969,159 is 20902299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,55,71,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 2,55,71,116 . The biggest common factor number is the GCF number.
So the greatest common factor 2,55,71,116 is 1.
Lets's calculate LCM of 33,37,969,159
3 | 33, 37, 969, 159 |
11, 37, 323, 53 |
∴ So the LCM of the given numbers is 3 x 11 x 37 x 323 x 53 = 20902299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20902299
Therefore, the GCF of Fractions 2/33,55/37,71/969,116/159 is 1/20902299
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 33,37,969,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,37,969,159) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(33,37,969,159) x common factors =1 x 9 = 9
LCM(33,37,969,159) = ( 33 × 37 × 969 × 159 ) / 9
LCM(33,37,969,159) = 188120691 / 9
LCM(33,37,969,159) = 20902299
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 2/33, 55/37, 71/969, 116/159?
Answer: GCF of Numerators as per given numbers 2/33, 55/37, 71/969, 116/159 is
GCF of Numerators i.e. for 2,55,71,116 is 1
LCM of denominators i.e. for 33,37,969,159 is 20902299.
Thus, GCF of Fractions is 1/20902299.Finally, GCF of Fractions for 2/33, 55/37, 71/969, 116/159 is 1/20902299.