Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/182,684/563,246/289
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 536,684,246
Greatest Common Factor of Numerators i.e. GCF of 536,684,246 is 2 .
LCM of Denominators means LCM of 182,563,289 as per the given fractions.
LCM of 182,563,289 is 29612674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,684,246
2 | 536, 684, 246 |
268, 342, 123 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 536,684,246 . The biggest common factor number is the GCF number.
So the greatest common factor 536,684,246 is 2.
Lets's calculate LCM of 182,563,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 29612674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29612674
Therefore, the GCF of Fractions 536/182,684/563,246/289 is 2/29612674
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 182,563,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,563,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,563,289) x common factors =1 x 1 = 1
LCM(182,563,289) = ( 182 × 563 × 289 ) / 1
LCM(182,563,289) = 29612674 / 1
LCM(182,563,289) = 29612674
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 536/182, 684/563, 246/289?
Answer: GCF of Numerators as per given numbers 536/182, 684/563, 246/289 is
GCF of Numerators i.e. for 536,684,246 is 2
LCM of denominators i.e. for 182,563,289 is 29612674.
Thus, GCF of Fractions is 2/29612674.Finally, GCF of Fractions for 536/182, 684/563, 246/289 is 2/29612674.