Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/36,72/71,94/18,293/46
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 29,72,94,293
Greatest Common Factor of Numerators i.e. GCF of 29,72,94,293 is 1 .
LCM of Denominators means LCM of 36,71,18,46 as per the given fractions.
LCM of 36,71,18,46 is 58788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,72,94,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 29,72,94,293 . The biggest common factor number is the GCF number.
So the greatest common factor 29,72,94,293 is 1.
Lets's calculate LCM of 36,71,18,46
2 | 36, 71, 18, 46 |
3 | 18, 71, 9, 23 |
3 | 6, 71, 3, 23 |
2, 71, 1, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 71 x 1 x 23 = 58788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58788
Therefore, the GCF of Fractions 29/36,72/71,94/18,293/46 is 1/58788
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 36,71,18,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,71,18,46) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(36,71,18,46) x common factors =1 x 36 = 36
LCM(36,71,18,46) = ( 36 × 71 × 18 × 46 ) / 36
LCM(36,71,18,46) = 2116368 / 36
LCM(36,71,18,46) = 58788
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 29/36, 72/71, 94/18, 293/46?
Answer: GCF of Numerators as per given numbers 29/36, 72/71, 94/18, 293/46 is
GCF of Numerators i.e. for 29,72,94,293 is 1
LCM of denominators i.e. for 36,71,18,46 is 58788.
Thus, GCF of Fractions is 1/58788.Finally, GCF of Fractions for 29/36, 72/71, 94/18, 293/46 is 1/58788.