Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4040/830,9978/2351
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 4040,9978
Greatest Common Factor of Numerators i.e. GCF of 4040,9978 is 2 .
LCM of Denominators means LCM of 830,2351 as per the given fractions.
LCM of 830,2351 is 1951330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4040,9978
2 | 4040, 9978 |
2020, 4989 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4040
List of positive integer factors of 4040 that divides 4040 without a remainder.
1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Factors of 9978
List of positive integer factors of 9978 that divides 9978 without a remainder.
1,2,3,6,1663,3326,4989,9978
Greatest Common Factor
We found the factors 4040,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 4040,9978 is 2.
Lets's calculate LCM of 830,2351
Given numbers has no common factors except 1. So, there LCM is their product i.e 1951330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1951330
Therefore, the GCF of Fractions 4040/830,9978/2351 is 2/1951330
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 830,2351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,2351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,2351) x common factors =1 x 1 = 1
LCM(830,2351) = ( 830 × 2351 ) / 1
LCM(830,2351) = 1951330 / 1
LCM(830,2351) = 1951330
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 4040/830, 9978/2351?
Answer: GCF of Numerators as per given numbers 4040/830, 9978/2351 is
GCF of Numerators i.e. for 4040,9978 is 2
LCM of denominators i.e. for 830,2351 is 1951330.
Thus, GCF of Fractions is 2/1951330.Finally, GCF of Fractions for 4040/830, 9978/2351 is 2/1951330.