Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/56,397/39,349/665
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 93,397,349
Greatest Common Factor of Numerators i.e. GCF of 93,397,349 is 1 .
LCM of Denominators means LCM of 56,39,665 as per the given fractions.
LCM of 56,39,665 is 207480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,397,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 93,397,349 . The biggest common factor number is the GCF number.
So the greatest common factor 93,397,349 is 1.
Lets's calculate LCM of 56,39,665
7 | 56, 39, 665 |
8, 39, 95 |
∴ So the LCM of the given numbers is 7 x 8 x 39 x 95 = 207480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207480
Therefore, the GCF of Fractions 93/56,397/39,349/665 is 1/207480
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 56,39,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,39,665) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(56,39,665) x common factors =1 x 7 = 7
LCM(56,39,665) = ( 56 × 39 × 665 ) / 7
LCM(56,39,665) = 1452360 / 7
LCM(56,39,665) = 207480
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 93/56, 397/39, 349/665?
Answer: GCF of Numerators as per given numbers 93/56, 397/39, 349/665 is
GCF of Numerators i.e. for 93,397,349 is 1
LCM of denominators i.e. for 56,39,665 is 207480.
Thus, GCF of Fractions is 1/207480.Finally, GCF of Fractions for 93/56, 397/39, 349/665 is 1/207480.