Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9910/218,1838/7609
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 9910,1838
Greatest Common Factor of Numerators i.e. GCF of 9910,1838 is 2 .
LCM of Denominators means LCM of 218,7609 as per the given fractions.
LCM of 218,7609 is 1658762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9910,1838
2 | 9910, 1838 |
4955, 919 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9910
List of positive integer factors of 9910 that divides 9910 without a remainder.
1,2,5,10,991,1982,4955,9910
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Greatest Common Factor
We found the factors 9910,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,1838 is 2.
Lets's calculate LCM of 218,7609
Given numbers has no common factors except 1. So, there LCM is their product i.e 1658762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1658762
Therefore, the GCF of Fractions 9910/218,1838/7609 is 2/1658762
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 218,7609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,7609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,7609) x common factors =1 x 1 = 1
LCM(218,7609) = ( 218 × 7609 ) / 1
LCM(218,7609) = 1658762 / 1
LCM(218,7609) = 1658762
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 9910/218, 1838/7609?
Answer: GCF of Numerators as per given numbers 9910/218, 1838/7609 is
GCF of Numerators i.e. for 9910,1838 is 2
LCM of denominators i.e. for 218,7609 is 1658762.
Thus, GCF of Fractions is 2/1658762.Finally, GCF of Fractions for 9910/218, 1838/7609 is 2/1658762.