Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/73,27/58,64/93,36/862
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 17,27,64,36
Greatest Common Factor of Numerators i.e. GCF of 17,27,64,36 is 1 .
LCM of Denominators means LCM of 73,58,93,862 as per the given fractions.
LCM of 73,58,93,862 is 169711422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,27,64,36
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Greatest Common Factor
We found the factors 17,27,64,36 . The biggest common factor number is the GCF number.
So the greatest common factor 17,27,64,36 is 1.
Lets's calculate LCM of 73,58,93,862
2 | 73, 58, 93, 862 |
73, 29, 93, 431 |
∴ So the LCM of the given numbers is 2 x 73 x 29 x 93 x 431 = 169711422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169711422
Therefore, the GCF of Fractions 17/73,27/58,64/93,36/862 is 1/169711422
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 73,58,93,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,58,93,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,58,93,862) x common factors =1 x 2 = 2
LCM(73,58,93,862) = ( 73 × 58 × 93 × 862 ) / 2
LCM(73,58,93,862) = 339422844 / 2
LCM(73,58,93,862) = 169711422
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 17/73, 27/58, 64/93, 36/862?
Answer: GCF of Numerators as per given numbers 17/73, 27/58, 64/93, 36/862 is
GCF of Numerators i.e. for 17,27,64,36 is 1
LCM of denominators i.e. for 73,58,93,862 is 169711422.
Thus, GCF of Fractions is 1/169711422.Finally, GCF of Fractions for 17/73, 27/58, 64/93, 36/862 is 1/169711422.