Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/45,59/31,665/895
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 94,59,665
Greatest Common Factor of Numerators i.e. GCF of 94,59,665 is 1 .
LCM of Denominators means LCM of 45,31,895 as per the given fractions.
LCM of 45,31,895 is 249705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,59,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 94,59,665 . The biggest common factor number is the GCF number.
So the greatest common factor 94,59,665 is 1.
Lets's calculate LCM of 45,31,895
5 | 45, 31, 895 |
9, 31, 179 |
∴ So the LCM of the given numbers is 5 x 9 x 31 x 179 = 249705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249705
Therefore, the GCF of Fractions 94/45,59/31,665/895 is 1/249705
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 45,31,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,31,895) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(45,31,895) x common factors =1 x 5 = 5
LCM(45,31,895) = ( 45 × 31 × 895 ) / 5
LCM(45,31,895) = 1248525 / 5
LCM(45,31,895) = 249705
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 94/45, 59/31, 665/895?
Answer: GCF of Numerators as per given numbers 94/45, 59/31, 665/895 is
GCF of Numerators i.e. for 94,59,665 is 1
LCM of denominators i.e. for 45,31,895 is 249705.
Thus, GCF of Fractions is 1/249705.Finally, GCF of Fractions for 94/45, 59/31, 665/895 is 1/249705.