Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8843/996,8888/3435
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 8843,8888
Greatest Common Factor of Numerators i.e. GCF of 8843,8888 is 1 .
LCM of Denominators means LCM of 996,3435 as per the given fractions.
LCM of 996,3435 is 1140420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8843,8888
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8843
List of positive integer factors of 8843 that divides 8843 without a remainder.
1,37,239,8843
Factors of 8888
List of positive integer factors of 8888 that divides 8888 without a remainder.
1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Greatest Common Factor
We found the factors 8843,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 8843,8888 is 1.
Lets's calculate LCM of 996,3435
3 | 996, 3435 |
332, 1145 |
∴ So the LCM of the given numbers is 3 x 332 x 1145 = 1140420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1140420
Therefore, the GCF of Fractions 8843/996,8888/3435 is 1/1140420
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 996,3435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,3435) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,3435) x common factors =3 x 1 = 3
LCM(996,3435) = ( 996 × 3435 ) / 3
LCM(996,3435) = 3421260 / 3
LCM(996,3435) = 1140420
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 8843/996, 8888/3435?
Answer: GCF of Numerators as per given numbers 8843/996, 8888/3435 is
GCF of Numerators i.e. for 8843,8888 is 1
LCM of denominators i.e. for 996,3435 is 1140420.
Thus, GCF of Fractions is 1/1140420.Finally, GCF of Fractions for 8843/996, 8888/3435 is 1/1140420.