Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6141/609,1089/7236
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 6141,1089
Greatest Common Factor of Numerators i.e. GCF of 6141,1089 is 3 .
LCM of Denominators means LCM of 609,7236 as per the given fractions.
LCM of 609,7236 is 1468908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6141,1089
3 | 6141, 1089 |
2047, 363 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6141
List of positive integer factors of 6141 that divides 6141 without a remainder.
1,3,23,69,89,267,2047,6141
Factors of 1089
List of positive integer factors of 1089 that divides 1089 without a remainder.
1,3,9,11,33,99,121,363,1089
Greatest Common Factor
We found the factors 6141,1089 . The biggest common factor number is the GCF number.
So the greatest common factor 6141,1089 is 3.
Lets's calculate LCM of 609,7236
3 | 609, 7236 |
203, 2412 |
∴ So the LCM of the given numbers is 3 x 203 x 2412 = 1468908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1468908
Therefore, the GCF of Fractions 6141/609,1089/7236 is 3/1468908
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 609,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,7236) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,7236) x common factors =3 x 1 = 3
LCM(609,7236) = ( 609 × 7236 ) / 3
LCM(609,7236) = 4406724 / 3
LCM(609,7236) = 1468908
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 6141/609, 1089/7236?
Answer: GCF of Numerators as per given numbers 6141/609, 1089/7236 is
GCF of Numerators i.e. for 6141,1089 is 3
LCM of denominators i.e. for 609,7236 is 1468908.
Thus, GCF of Fractions is 3/1468908.Finally, GCF of Fractions for 6141/609, 1089/7236 is 3/1468908.