Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/35,480/5317
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 641,480
Greatest Common Factor of Numerators i.e. GCF of 641,480 is 1 .
LCM of Denominators means LCM of 35,5317 as per the given fractions.
LCM of 35,5317 is 186095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 641,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 641,480 . The biggest common factor number is the GCF number.
So the greatest common factor 641,480 is 1.
Lets's calculate LCM of 35,5317
Given numbers has no common factors except 1. So, there LCM is their product i.e 186095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186095
Therefore, the GCF of Fractions 641/35,480/5317 is 1/186095
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 35,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,5317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,5317) x common factors =1 x 1 = 1
LCM(35,5317) = ( 35 × 5317 ) / 1
LCM(35,5317) = 186095 / 1
LCM(35,5317) = 186095
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 641/35, 480/5317?
Answer: GCF of Numerators as per given numbers 641/35, 480/5317 is
GCF of Numerators i.e. for 641,480 is 1
LCM of denominators i.e. for 35,5317 is 186095.
Thus, GCF of Fractions is 1/186095.Finally, GCF of Fractions for 641/35, 480/5317 is 1/186095.