Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/119,260/805
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 442,260
Greatest Common Factor of Numerators i.e. GCF of 442,260 is 26 .
LCM of Denominators means LCM of 119,805 as per the given fractions.
LCM of 119,805 is 13685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 442,260
2 | 442, 260 |
13 | 221, 130 |
17, 10 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 442,260 . The biggest common factor number is the GCF number.
So the greatest common factor 442,260 is 26.
Lets's calculate LCM of 119,805
7 | 119, 805 |
17, 115 |
∴ So the LCM of the given numbers is 7 x 17 x 115 = 13685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/13685
Therefore, the GCF of Fractions 442/119,260/805 is 26/13685
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 119,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,805) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,805) x common factors =7 x 1 = 7
LCM(119,805) = ( 119 × 805 ) / 7
LCM(119,805) = 95795 / 7
LCM(119,805) = 13685
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 442/119, 260/805?
Answer: GCF of Numerators as per given numbers 442/119, 260/805 is
GCF of Numerators i.e. for 442,260 is 26
LCM of denominators i.e. for 119,805 is 13685.
Thus, GCF of Fractions is 26/13685.Finally, GCF of Fractions for 442/119, 260/805 is 26/13685.