Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 313/443,975/600,416/637
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 313,975,416
Greatest Common Factor of Numerators i.e. GCF of 313,975,416 is 1 .
LCM of Denominators means LCM of 443,600,637 as per the given fractions.
LCM of 443,600,637 is 169314600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 313,975,416
∴ 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 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 313,975,416 . The biggest common factor number is the GCF number.
So the greatest common factor 313,975,416 is 1.
Lets's calculate LCM of 443,600,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 169314600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169314600
Therefore, the GCF of Fractions 313/443,975/600,416/637 is 1/169314600
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 443,600,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,600,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,600,637) x common factors =1 x 1 = 1
LCM(443,600,637) = ( 443 × 600 × 637 ) / 1
LCM(443,600,637) = 169314600 / 1
LCM(443,600,637) = 169314600
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 313/443, 975/600, 416/637?
Answer: GCF of Numerators as per given numbers 313/443, 975/600, 416/637 is
GCF of Numerators i.e. for 313,975,416 is 1
LCM of denominators i.e. for 443,600,637 is 169314600.
Thus, GCF of Fractions is 1/169314600.Finally, GCF of Fractions for 313/443, 975/600, 416/637 is 1/169314600.