Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/46,48/763,482/479
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 68,48,482
Greatest Common Factor of Numerators i.e. GCF of 68,48,482 is 2 .
LCM of Denominators means LCM of 46,763,479 as per the given fractions.
LCM of 46,763,479 is 16811942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,48,482
2 | 68, 48, 482 |
34, 24, 241 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 68,48,482 . The biggest common factor number is the GCF number.
So the greatest common factor 68,48,482 is 2.
Lets's calculate LCM of 46,763,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 16811942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16811942
Therefore, the GCF of Fractions 68/46,48/763,482/479 is 2/16811942
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 46,763,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,763,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,763,479) x common factors =1 x 1 = 1
LCM(46,763,479) = ( 46 × 763 × 479 ) / 1
LCM(46,763,479) = 16811942 / 1
LCM(46,763,479) = 16811942
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 68/46, 48/763, 482/479?
Answer: GCF of Numerators as per given numbers 68/46, 48/763, 482/479 is
GCF of Numerators i.e. for 68,48,482 is 2
LCM of denominators i.e. for 46,763,479 is 16811942.
Thus, GCF of Fractions is 2/16811942.Finally, GCF of Fractions for 68/46, 48/763, 482/479 is 2/16811942.