Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 317/77,408/954
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 317,408
Greatest Common Factor of Numerators i.e. GCF of 317,408 is 1 .
LCM of Denominators means LCM of 77,954 as per the given fractions.
LCM of 77,954 is 73458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 317,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 317,408 . The biggest common factor number is the GCF number.
So the greatest common factor 317,408 is 1.
Lets's calculate LCM of 77,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 73458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73458
Therefore, the GCF of Fractions 317/77,408/954 is 1/73458
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 77,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,954) x common factors =1 x 1 = 1
LCM(77,954) = ( 77 × 954 ) / 1
LCM(77,954) = 73458 / 1
LCM(77,954) = 73458
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 317/77, 408/954?
Answer: GCF of Numerators as per given numbers 317/77, 408/954 is
GCF of Numerators i.e. for 317,408 is 1
LCM of denominators i.e. for 77,954 is 73458.
Thus, GCF of Fractions is 1/73458.Finally, GCF of Fractions for 317/77, 408/954 is 1/73458.