Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1489/936,7213/4347
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 1489,7213
Greatest Common Factor of Numerators i.e. GCF of 1489,7213 is 1 .
LCM of Denominators means LCM of 936,4347 as per the given fractions.
LCM of 936,4347 is 452088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1489,7213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1489
List of positive integer factors of 1489 that divides 1489 without a remainder.
1,1489
Factors of 7213
List of positive integer factors of 7213 that divides 7213 without a remainder.
1,7213
Greatest Common Factor
We found the factors 1489,7213 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,7213 is 1.
Lets's calculate LCM of 936,4347
3 | 936, 4347 |
3 | 312, 1449 |
104, 483 |
∴ So the LCM of the given numbers is 3 x 3 x 104 x 483 = 452088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452088
Therefore, the GCF of Fractions 1489/936,7213/4347 is 1/452088
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 936,4347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,4347) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(936,4347) x common factors =9 x 1 = 9
LCM(936,4347) = ( 936 × 4347 ) / 9
LCM(936,4347) = 4068792 / 9
LCM(936,4347) = 452088
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 1489/936, 7213/4347?
Answer: GCF of Numerators as per given numbers 1489/936, 7213/4347 is
GCF of Numerators i.e. for 1489,7213 is 1
LCM of denominators i.e. for 936,4347 is 452088.
Thus, GCF of Fractions is 1/452088.Finally, GCF of Fractions for 1489/936, 7213/4347 is 1/452088.