Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 995/438,990/351
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 995,990
Greatest Common Factor of Numerators i.e. GCF of 995,990 is 5 .
LCM of Denominators means LCM of 438,351 as per the given fractions.
LCM of 438,351 is 51246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 995,990
5 | 995, 990 |
199, 198 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 995,990 . The biggest common factor number is the GCF number.
So the greatest common factor 995,990 is 5.
Lets's calculate LCM of 438,351
3 | 438, 351 |
146, 117 |
∴ So the LCM of the given numbers is 3 x 146 x 117 = 51246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/51246
Therefore, the GCF of Fractions 995/438,990/351 is 5/51246
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 438,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(438,351) x common factors =3 x 1 = 3
LCM(438,351) = ( 438 × 351 ) / 3
LCM(438,351) = 153738 / 3
LCM(438,351) = 51246
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 995/438, 990/351?
Answer: GCF of Numerators as per given numbers 995/438, 990/351 is
GCF of Numerators i.e. for 995,990 is 5
LCM of denominators i.e. for 438,351 is 51246.
Thus, GCF of Fractions is 5/51246.Finally, GCF of Fractions for 995/438, 990/351 is 5/51246.