Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9306/795,7828/651
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 9306,7828
Greatest Common Factor of Numerators i.e. GCF of 9306,7828 is 2 .
LCM of Denominators means LCM of 795,651 as per the given fractions.
LCM of 795,651 is 172515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9306,7828
2 | 9306, 7828 |
4653, 3914 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9306
List of positive integer factors of 9306 that divides 9306 without a remainder.
1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Factors of 7828
List of positive integer factors of 7828 that divides 7828 without a remainder.
1,2,4,19,38,76,103,206,412,1957,3914,7828
Greatest Common Factor
We found the factors 9306,7828 . The biggest common factor number is the GCF number.
So the greatest common factor 9306,7828 is 2.
Lets's calculate LCM of 795,651
3 | 795, 651 |
265, 217 |
∴ So the LCM of the given numbers is 3 x 265 x 217 = 172515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172515
Therefore, the GCF of Fractions 9306/795,7828/651 is 2/172515
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 795,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,651) x common factors =3 x 1 = 3
LCM(795,651) = ( 795 × 651 ) / 3
LCM(795,651) = 517545 / 3
LCM(795,651) = 172515
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 9306/795, 7828/651?
Answer: GCF of Numerators as per given numbers 9306/795, 7828/651 is
GCF of Numerators i.e. for 9306,7828 is 2
LCM of denominators i.e. for 795,651 is 172515.
Thus, GCF of Fractions is 2/172515.Finally, GCF of Fractions for 9306/795, 7828/651 is 2/172515.