Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6922/756,6333/6698
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 6922,6333
Greatest Common Factor of Numerators i.e. GCF of 6922,6333 is 1 .
LCM of Denominators means LCM of 756,6698 as per the given fractions.
LCM of 756,6698 is 2531844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6922,6333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6922
List of positive integer factors of 6922 that divides 6922 without a remainder.
1,2,3461,6922
Factors of 6333
List of positive integer factors of 6333 that divides 6333 without a remainder.
1,3,2111,6333
Greatest Common Factor
We found the factors 6922,6333 . The biggest common factor number is the GCF number.
So the greatest common factor 6922,6333 is 1.
Lets's calculate LCM of 756,6698
2 | 756, 6698 |
378, 3349 |
∴ So the LCM of the given numbers is 2 x 378 x 3349 = 2531844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2531844
Therefore, the GCF of Fractions 6922/756,6333/6698 is 1/2531844
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 756,6698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6698) x common factors =2 x 1 = 2
LCM(756,6698) = ( 756 × 6698 ) / 2
LCM(756,6698) = 5063688 / 2
LCM(756,6698) = 2531844
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 6922/756, 6333/6698?
Answer: GCF of Numerators as per given numbers 6922/756, 6333/6698 is
GCF of Numerators i.e. for 6922,6333 is 1
LCM of denominators i.e. for 756,6698 is 2531844.
Thus, GCF of Fractions is 1/2531844.Finally, GCF of Fractions for 6922/756, 6333/6698 is 1/2531844.