Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/72,185/87,619/268
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 799,185,619
Greatest Common Factor of Numerators i.e. GCF of 799,185,619 is 1 .
LCM of Denominators means LCM of 72,87,268 as per the given fractions.
LCM of 72,87,268 is 139896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,185,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 799,185,619 . The biggest common factor number is the GCF number.
So the greatest common factor 799,185,619 is 1.
Lets's calculate LCM of 72,87,268
2 | 72, 87, 268 |
2 | 36, 87, 134 |
3 | 18, 87, 67 |
6, 29, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 29 x 67 = 139896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139896
Therefore, the GCF of Fractions 799/72,185/87,619/268 is 1/139896
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 72,87,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,87,268) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(72,87,268) x common factors =1 x 12 = 12
LCM(72,87,268) = ( 72 × 87 × 268 ) / 12
LCM(72,87,268) = 1678752 / 12
LCM(72,87,268) = 139896
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 799/72, 185/87, 619/268?
Answer: GCF of Numerators as per given numbers 799/72, 185/87, 619/268 is
GCF of Numerators i.e. for 799,185,619 is 1
LCM of denominators i.e. for 72,87,268 is 139896.
Thus, GCF of Fractions is 1/139896.Finally, GCF of Fractions for 799/72, 185/87, 619/268 is 1/139896.