Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3348/436,9872/3237
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 3348,9872
Greatest Common Factor of Numerators i.e. GCF of 3348,9872 is 4 .
LCM of Denominators means LCM of 436,3237 as per the given fractions.
LCM of 436,3237 is 1411332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3348,9872
2 | 3348, 9872 |
2 | 1674, 4936 |
837, 2468 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3348
List of positive integer factors of 3348 that divides 3348 without a remainder.
1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Factors of 9872
List of positive integer factors of 9872 that divides 9872 without a remainder.
1,2,4,8,16,617,1234,2468,4936,9872
Greatest Common Factor
We found the factors 3348,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 3348,9872 is 4.
Lets's calculate LCM of 436,3237
Given numbers has no common factors except 1. So, there LCM is their product i.e 1411332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1411332
Therefore, the GCF of Fractions 3348/436,9872/3237 is 4/1411332
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 436,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,3237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,3237) x common factors =1 x 1 = 1
LCM(436,3237) = ( 436 × 3237 ) / 1
LCM(436,3237) = 1411332 / 1
LCM(436,3237) = 1411332
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 3348/436, 9872/3237?
Answer: GCF of Numerators as per given numbers 3348/436, 9872/3237 is
GCF of Numerators i.e. for 3348,9872 is 4
LCM of denominators i.e. for 436,3237 is 1411332.
Thus, GCF of Fractions is 4/1411332.Finally, GCF of Fractions for 3348/436, 9872/3237 is 4/1411332.