Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1613/756,5434/6928
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 1613,5434
Greatest Common Factor of Numerators i.e. GCF of 1613,5434 is 1 .
LCM of Denominators means LCM of 756,6928 as per the given fractions.
LCM of 756,6928 is 1309392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1613,5434
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1613
List of positive integer factors of 1613 that divides 1613 without a remainder.
1,1613
Factors of 5434
List of positive integer factors of 5434 that divides 5434 without a remainder.
1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434
Greatest Common Factor
We found the factors 1613,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 1613,5434 is 1.
Lets's calculate LCM of 756,6928
2 | 756, 6928 |
2 | 378, 3464 |
189, 1732 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 1732 = 1309392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1309392
Therefore, the GCF of Fractions 1613/756,5434/6928 is 1/1309392
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 756,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6928) x common factors =4 x 1 = 4
LCM(756,6928) = ( 756 × 6928 ) / 4
LCM(756,6928) = 5237568 / 4
LCM(756,6928) = 1309392
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 1613/756, 5434/6928?
Answer: GCF of Numerators as per given numbers 1613/756, 5434/6928 is
GCF of Numerators i.e. for 1613,5434 is 1
LCM of denominators i.e. for 756,6928 is 1309392.
Thus, GCF of Fractions is 1/1309392.Finally, GCF of Fractions for 1613/756, 5434/6928 is 1/1309392.