Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/75,195/86,463/74
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 5,195,463
Greatest Common Factor of Numerators i.e. GCF of 5,195,463 is 1 .
LCM of Denominators means LCM of 75,86,74 as per the given fractions.
LCM of 75,86,74 is 238650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,195,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 5,195,463 . The biggest common factor number is the GCF number.
So the greatest common factor 5,195,463 is 1.
Lets's calculate LCM of 75,86,74
2 | 75, 86, 74 |
75, 43, 37 |
∴ So the LCM of the given numbers is 2 x 75 x 43 x 37 = 238650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238650
Therefore, the GCF of Fractions 5/75,195/86,463/74 is 1/238650
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 75,86,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,86,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,86,74) x common factors =1 x 2 = 2
LCM(75,86,74) = ( 75 × 86 × 74 ) / 2
LCM(75,86,74) = 477300 / 2
LCM(75,86,74) = 238650
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 5/75, 195/86, 463/74?
Answer: GCF of Numerators as per given numbers 5/75, 195/86, 463/74 is
GCF of Numerators i.e. for 5,195,463 is 1
LCM of denominators i.e. for 75,86,74 is 238650.
Thus, GCF of Fractions is 1/238650.Finally, GCF of Fractions for 5/75, 195/86, 463/74 is 1/238650.