Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3364/58,9844/909
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 3364,9844
Greatest Common Factor of Numerators i.e. GCF of 3364,9844 is 4 .
LCM of Denominators means LCM of 58,909 as per the given fractions.
LCM of 58,909 is 52722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3364,9844
2 | 3364, 9844 |
2 | 1682, 4922 |
841, 2461 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3364
List of positive integer factors of 3364 that divides 3364 without a remainder.
1,2,4,29,58,116,841,1682,3364
Factors of 9844
List of positive integer factors of 9844 that divides 9844 without a remainder.
1,2,4,23,46,92,107,214,428,2461,4922,9844
Greatest Common Factor
We found the factors 3364,9844 . The biggest common factor number is the GCF number.
So the greatest common factor 3364,9844 is 4.
Lets's calculate LCM of 58,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 52722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52722
Therefore, the GCF of Fractions 3364/58,9844/909 is 4/52722
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 58,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,909) x common factors =1 x 1 = 1
LCM(58,909) = ( 58 × 909 ) / 1
LCM(58,909) = 52722 / 1
LCM(58,909) = 52722
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 3364/58, 9844/909?
Answer: GCF of Numerators as per given numbers 3364/58, 9844/909 is
GCF of Numerators i.e. for 3364,9844 is 4
LCM of denominators i.e. for 58,909 is 52722.
Thus, GCF of Fractions is 4/52722.Finally, GCF of Fractions for 3364/58, 9844/909 is 4/52722.