Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 313/768,9874/385
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 313,9874
Greatest Common Factor of Numerators i.e. GCF of 313,9874 is 1 .
LCM of Denominators means LCM of 768,385 as per the given fractions.
LCM of 768,385 is 295680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 313,9874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 9874
List of positive integer factors of 9874 that divides 9874 without a remainder.
1,2,4937,9874
Greatest Common Factor
We found the factors 313,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 313,9874 is 1.
Lets's calculate LCM of 768,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 295680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295680
Therefore, the GCF of Fractions 313/768,9874/385 is 1/295680
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 768,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,385) x common factors =1 x 1 = 1
LCM(768,385) = ( 768 × 385 ) / 1
LCM(768,385) = 295680 / 1
LCM(768,385) = 295680
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 313/768, 9874/385?
Answer: GCF of Numerators as per given numbers 313/768, 9874/385 is
GCF of Numerators i.e. for 313,9874 is 1
LCM of denominators i.e. for 768,385 is 295680.
Thus, GCF of Fractions is 1/295680.Finally, GCF of Fractions for 313/768, 9874/385 is 1/295680.