Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6621/854,8953/372
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 6621,8953
Greatest Common Factor of Numerators i.e. GCF of 6621,8953 is 1 .
LCM of Denominators means LCM of 854,372 as per the given fractions.
LCM of 854,372 is 158844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6621,8953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1,7,1279,8953
Greatest Common Factor
We found the factors 6621,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 6621,8953 is 1.
Lets's calculate LCM of 854,372
2 | 854, 372 |
427, 186 |
∴ So the LCM of the given numbers is 2 x 427 x 186 = 158844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158844
Therefore, the GCF of Fractions 6621/854,8953/372 is 1/158844
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 854,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,372) x common factors =2 x 1 = 2
LCM(854,372) = ( 854 × 372 ) / 2
LCM(854,372) = 317688 / 2
LCM(854,372) = 158844
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 6621/854, 8953/372?
Answer: GCF of Numerators as per given numbers 6621/854, 8953/372 is
GCF of Numerators i.e. for 6621,8953 is 1
LCM of denominators i.e. for 854,372 is 158844.
Thus, GCF of Fractions is 1/158844.Finally, GCF of Fractions for 6621/854, 8953/372 is 1/158844.