Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4365/938,3828/543
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 4365,3828
Greatest Common Factor of Numerators i.e. GCF of 4365,3828 is 3 .
LCM of Denominators means LCM of 938,543 as per the given fractions.
LCM of 938,543 is 509334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4365,3828
3 | 4365, 3828 |
1455, 1276 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4365
List of positive integer factors of 4365 that divides 4365 without a remainder.
1,3,5,9,15,45,97,291,485,873,1455,4365
Factors of 3828
List of positive integer factors of 3828 that divides 3828 without a remainder.
1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Greatest Common Factor
We found the factors 4365,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 4365,3828 is 3.
Lets's calculate LCM of 938,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 509334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/509334
Therefore, the GCF of Fractions 4365/938,3828/543 is 3/509334
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 938,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,543) x common factors =1 x 1 = 1
LCM(938,543) = ( 938 × 543 ) / 1
LCM(938,543) = 509334 / 1
LCM(938,543) = 509334
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 4365/938, 3828/543?
Answer: GCF of Numerators as per given numbers 4365/938, 3828/543 is
GCF of Numerators i.e. for 4365,3828 is 3
LCM of denominators i.e. for 938,543 is 509334.
Thus, GCF of Fractions is 3/509334.Finally, GCF of Fractions for 4365/938, 3828/543 is 3/509334.