Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/81,17/89,46/52,29/996
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 34,17,46,29
Greatest Common Factor of Numerators i.e. GCF of 34,17,46,29 is 1 .
LCM of Denominators means LCM of 81,89,52,996 as per the given fractions.
LCM of 81,89,52,996 is 31114044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,17,46,29
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Greatest Common Factor
We found the factors 34,17,46,29 . The biggest common factor number is the GCF number.
So the greatest common factor 34,17,46,29 is 1.
Lets's calculate LCM of 81,89,52,996
2 | 81, 89, 52, 996 |
2 | 81, 89, 26, 498 |
3 | 81, 89, 13, 249 |
27, 89, 13, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 89 x 13 x 83 = 31114044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31114044
Therefore, the GCF of Fractions 34/81,17/89,46/52,29/996 is 1/31114044
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 81,89,52,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,89,52,996) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(81,89,52,996) x common factors =1 x 12 = 12
LCM(81,89,52,996) = ( 81 × 89 × 52 × 996 ) / 12
LCM(81,89,52,996) = 373368528 / 12
LCM(81,89,52,996) = 31114044
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 34/81, 17/89, 46/52, 29/996?
Answer: GCF of Numerators as per given numbers 34/81, 17/89, 46/52, 29/996 is
GCF of Numerators i.e. for 34,17,46,29 is 1
LCM of denominators i.e. for 81,89,52,996 is 31114044.
Thus, GCF of Fractions is 1/31114044.Finally, GCF of Fractions for 34/81, 17/89, 46/52, 29/996 is 1/31114044.