Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5939/536,9246/4396
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 5939,9246
Greatest Common Factor of Numerators i.e. GCF of 5939,9246 is 1 .
LCM of Denominators means LCM of 536,4396 as per the given fractions.
LCM of 536,4396 is 589064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5939,9246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5939
List of positive integer factors of 5939 that divides 5939 without a remainder.
1,5939
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors 5939,9246 . The biggest common factor number is the GCF number.
So the greatest common factor 5939,9246 is 1.
Lets's calculate LCM of 536,4396
2 | 536, 4396 |
2 | 268, 2198 |
134, 1099 |
∴ So the LCM of the given numbers is 2 x 2 x 134 x 1099 = 589064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589064
Therefore, the GCF of Fractions 5939/536,9246/4396 is 1/589064
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 536,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,4396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(536,4396) x common factors =4 x 1 = 4
LCM(536,4396) = ( 536 × 4396 ) / 4
LCM(536,4396) = 2356256 / 4
LCM(536,4396) = 589064
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 5939/536, 9246/4396?
Answer: GCF of Numerators as per given numbers 5939/536, 9246/4396 is
GCF of Numerators i.e. for 5939,9246 is 1
LCM of denominators i.e. for 536,4396 is 589064.
Thus, GCF of Fractions is 1/589064.Finally, GCF of Fractions for 5939/536, 9246/4396 is 1/589064.