Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/746,190/147
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 50,190
Greatest Common Factor of Numerators i.e. GCF of 50,190 is 10 .
LCM of Denominators means LCM of 746,147 as per the given fractions.
LCM of 746,147 is 109662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,190
2 | 50, 190 |
5 | 25, 95 |
5, 19 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 50,190 . The biggest common factor number is the GCF number.
So the greatest common factor 50,190 is 10.
Lets's calculate LCM of 746,147
Given numbers has no common factors except 1. So, there LCM is their product i.e 109662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/109662
Therefore, the GCF of Fractions 50/746,190/147 is 10/109662
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 746,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,147) x common factors =1 x 1 = 1
LCM(746,147) = ( 746 × 147 ) / 1
LCM(746,147) = 109662 / 1
LCM(746,147) = 109662
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 50/746, 190/147?
Answer: GCF of Numerators as per given numbers 50/746, 190/147 is
GCF of Numerators i.e. for 50,190 is 10
LCM of denominators i.e. for 746,147 is 109662.
Thus, GCF of Fractions is 10/109662.Finally, GCF of Fractions for 50/746, 190/147 is 10/109662.