Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/76,8397/208
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 844,8397
Greatest Common Factor of Numerators i.e. GCF of 844,8397 is 1 .
LCM of Denominators means LCM of 76,208 as per the given fractions.
LCM of 76,208 is 3952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 844,8397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 8397
List of positive integer factors of 8397 that divides 8397 without a remainder.
1,3,9,27,311,933,2799,8397
Greatest Common Factor
We found the factors 844,8397 . The biggest common factor number is the GCF number.
So the greatest common factor 844,8397 is 1.
Lets's calculate LCM of 76,208
2 | 76, 208 |
2 | 38, 104 |
19, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 52 = 3952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3952
Therefore, the GCF of Fractions 844/76,8397/208 is 1/3952
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 76,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,208) x common factors =4 x 1 = 4
LCM(76,208) = ( 76 × 208 ) / 4
LCM(76,208) = 15808 / 4
LCM(76,208) = 3952
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 844/76, 8397/208?
Answer: GCF of Numerators as per given numbers 844/76, 8397/208 is
GCF of Numerators i.e. for 844,8397 is 1
LCM of denominators i.e. for 76,208 is 3952.
Thus, GCF of Fractions is 1/3952.Finally, GCF of Fractions for 844/76, 8397/208 is 1/3952.