Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7701/994,9696/2238
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 7701,9696
Greatest Common Factor of Numerators i.e. GCF of 7701,9696 is 3 .
LCM of Denominators means LCM of 994,2238 as per the given fractions.
LCM of 994,2238 is 1112286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7701,9696
3 | 7701, 9696 |
2567, 3232 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7701
List of positive integer factors of 7701 that divides 7701 without a remainder.
1,3,17,51,151,453,2567,7701
Factors of 9696
List of positive integer factors of 9696 that divides 9696 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696
Greatest Common Factor
We found the factors 7701,9696 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,9696 is 3.
Lets's calculate LCM of 994,2238
2 | 994, 2238 |
497, 1119 |
∴ So the LCM of the given numbers is 2 x 497 x 1119 = 1112286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1112286
Therefore, the GCF of Fractions 7701/994,9696/2238 is 3/1112286
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 994,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,2238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,2238) x common factors =2 x 1 = 2
LCM(994,2238) = ( 994 × 2238 ) / 2
LCM(994,2238) = 2224572 / 2
LCM(994,2238) = 1112286
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 7701/994, 9696/2238?
Answer: GCF of Numerators as per given numbers 7701/994, 9696/2238 is
GCF of Numerators i.e. for 7701,9696 is 3
LCM of denominators i.e. for 994,2238 is 1112286.
Thus, GCF of Fractions is 3/1112286.Finally, GCF of Fractions for 7701/994, 9696/2238 is 3/1112286.