Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/33,434/70,103/856
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 582,434,103
Greatest Common Factor of Numerators i.e. GCF of 582,434,103 is 1 .
LCM of Denominators means LCM of 33,70,856 as per the given fractions.
LCM of 33,70,856 is 988680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,434,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 582,434,103 . The biggest common factor number is the GCF number.
So the greatest common factor 582,434,103 is 1.
Lets's calculate LCM of 33,70,856
2 | 33, 70, 856 |
33, 35, 428 |
∴ So the LCM of the given numbers is 2 x 33 x 35 x 428 = 988680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/988680
Therefore, the GCF of Fractions 582/33,434/70,103/856 is 1/988680
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 33,70,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,70,856) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(33,70,856) x common factors =1 x 2 = 2
LCM(33,70,856) = ( 33 × 70 × 856 ) / 2
LCM(33,70,856) = 1977360 / 2
LCM(33,70,856) = 988680
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 582/33, 434/70, 103/856?
Answer: GCF of Numerators as per given numbers 582/33, 434/70, 103/856 is
GCF of Numerators i.e. for 582,434,103 is 1
LCM of denominators i.e. for 33,70,856 is 988680.
Thus, GCF of Fractions is 1/988680.Finally, GCF of Fractions for 582/33, 434/70, 103/856 is 1/988680.