Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/346,195/235
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 630,195
Greatest Common Factor of Numerators i.e. GCF of 630,195 is 15 .
LCM of Denominators means LCM of 346,235 as per the given fractions.
LCM of 346,235 is 81310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,195
3 | 630, 195 |
5 | 210, 65 |
42, 13 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 630,195 . The biggest common factor number is the GCF number.
So the greatest common factor 630,195 is 15.
Lets's calculate LCM of 346,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 81310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/81310
Therefore, the GCF of Fractions 630/346,195/235 is 15/81310
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 346,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,235) x common factors =1 x 1 = 1
LCM(346,235) = ( 346 × 235 ) / 1
LCM(346,235) = 81310 / 1
LCM(346,235) = 81310
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 630/346, 195/235?
Answer: GCF of Numerators as per given numbers 630/346, 195/235 is
GCF of Numerators i.e. for 630,195 is 15
LCM of denominators i.e. for 346,235 is 81310.
Thus, GCF of Fractions is 15/81310.Finally, GCF of Fractions for 630/346, 195/235 is 15/81310.