Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5454/29,5937/293
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 5454,5937
Greatest Common Factor of Numerators i.e. GCF of 5454,5937 is 3 .
LCM of Denominators means LCM of 29,293 as per the given fractions.
LCM of 29,293 is 8497 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5454,5937
3 | 5454, 5937 |
1818, 1979 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5454
List of positive integer factors of 5454 that divides 5454 without a remainder.
1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Factors of 5937
List of positive integer factors of 5937 that divides 5937 without a remainder.
1,3,1979,5937
Greatest Common Factor
We found the factors 5454,5937 . The biggest common factor number is the GCF number.
So the greatest common factor 5454,5937 is 3.
Lets's calculate LCM of 29,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 8497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8497
Therefore, the GCF of Fractions 5454/29,5937/293 is 3/8497
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 29,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,293) x common factors =1 x 1 = 1
LCM(29,293) = ( 29 × 293 ) / 1
LCM(29,293) = 8497 / 1
LCM(29,293) = 8497
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 5454/29, 5937/293?
Answer: GCF of Numerators as per given numbers 5454/29, 5937/293 is
GCF of Numerators i.e. for 5454,5937 is 3
LCM of denominators i.e. for 29,293 is 8497.
Thus, GCF of Fractions is 3/8497.Finally, GCF of Fractions for 5454/29, 5937/293 is 3/8497.