Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 622/735,4292/237
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 622,4292
Greatest Common Factor of Numerators i.e. GCF of 622,4292 is 2 .
LCM of Denominators means LCM of 735,237 as per the given fractions.
LCM of 735,237 is 58065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 622,4292
2 | 622, 4292 |
311, 2146 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 4292
List of positive integer factors of 4292 that divides 4292 without a remainder.
1,2,4,29,37,58,74,116,148,1073,2146,4292
Greatest Common Factor
We found the factors 622,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 622,4292 is 2.
Lets's calculate LCM of 735,237
3 | 735, 237 |
245, 79 |
∴ So the LCM of the given numbers is 3 x 245 x 79 = 58065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58065
Therefore, the GCF of Fractions 622/735,4292/237 is 2/58065
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 735,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,237) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,237) x common factors =3 x 1 = 3
LCM(735,237) = ( 735 × 237 ) / 3
LCM(735,237) = 174195 / 3
LCM(735,237) = 58065
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 622/735, 4292/237?
Answer: GCF of Numerators as per given numbers 622/735, 4292/237 is
GCF of Numerators i.e. for 622,4292 is 2
LCM of denominators i.e. for 735,237 is 58065.
Thus, GCF of Fractions is 2/58065.Finally, GCF of Fractions for 622/735, 4292/237 is 2/58065.