Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/23,220/39,782/96
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 2,220,782
Greatest Common Factor of Numerators i.e. GCF of 2,220,782 is 2 .
LCM of Denominators means LCM of 23,39,96 as per the given fractions.
LCM of 23,39,96 is 28704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,220,782
2 | 2, 220, 782 |
1, 110, 391 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 2,220,782 . The biggest common factor number is the GCF number.
So the greatest common factor 2,220,782 is 2.
Lets's calculate LCM of 23,39,96
3 | 23, 39, 96 |
23, 13, 32 |
∴ So the LCM of the given numbers is 3 x 23 x 13 x 32 = 28704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28704
Therefore, the GCF of Fractions 2/23,220/39,782/96 is 2/28704
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 23,39,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,39,96) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(23,39,96) x common factors =1 x 3 = 3
LCM(23,39,96) = ( 23 × 39 × 96 ) / 3
LCM(23,39,96) = 86112 / 3
LCM(23,39,96) = 28704
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 2/23, 220/39, 782/96?
Answer: GCF of Numerators as per given numbers 2/23, 220/39, 782/96 is
GCF of Numerators i.e. for 2,220,782 is 2
LCM of denominators i.e. for 23,39,96 is 28704.
Thus, GCF of Fractions is 2/28704.Finally, GCF of Fractions for 2/23, 220/39, 782/96 is 2/28704.