Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/85,23/46,56/41,514/66
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 97,23,56,514
Greatest Common Factor of Numerators i.e. GCF of 97,23,56,514 is 1 .
LCM of Denominators means LCM of 85,46,41,66 as per the given fractions.
LCM of 85,46,41,66 is 5290230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,23,56,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Greatest Common Factor
We found the factors 97,23,56,514 . The biggest common factor number is the GCF number.
So the greatest common factor 97,23,56,514 is 1.
Lets's calculate LCM of 85,46,41,66
2 | 85, 46, 41, 66 |
85, 23, 41, 33 |
∴ So the LCM of the given numbers is 2 x 85 x 23 x 41 x 33 = 5290230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5290230
Therefore, the GCF of Fractions 97/85,23/46,56/41,514/66 is 1/5290230
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 85,46,41,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,46,41,66) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(85,46,41,66) x common factors =1 x 2 = 2
LCM(85,46,41,66) = ( 85 × 46 × 41 × 66 ) / 2
LCM(85,46,41,66) = 10580460 / 2
LCM(85,46,41,66) = 5290230
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 97/85, 23/46, 56/41, 514/66?
Answer: GCF of Numerators as per given numbers 97/85, 23/46, 56/41, 514/66 is
GCF of Numerators i.e. for 97,23,56,514 is 1
LCM of denominators i.e. for 85,46,41,66 is 5290230.
Thus, GCF of Fractions is 1/5290230.Finally, GCF of Fractions for 97/85, 23/46, 56/41, 514/66 is 1/5290230.