Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3523/924,8510/5183
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 3523,8510
Greatest Common Factor of Numerators i.e. GCF of 3523,8510 is 1 .
LCM of Denominators means LCM of 924,5183 as per the given fractions.
LCM of 924,5183 is 4789092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3523,8510
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3523
List of positive integer factors of 3523 that divides 3523 without a remainder.
1,13,271,3523
Factors of 8510
List of positive integer factors of 8510 that divides 8510 without a remainder.
1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 3523,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 3523,8510 is 1.
Lets's calculate LCM of 924,5183
Given numbers has no common factors except 1. So, there LCM is their product i.e 4789092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4789092
Therefore, the GCF of Fractions 3523/924,8510/5183 is 1/4789092
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 924,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,5183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,5183) x common factors =1 x 1 = 1
LCM(924,5183) = ( 924 × 5183 ) / 1
LCM(924,5183) = 4789092 / 1
LCM(924,5183) = 4789092
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 3523/924, 8510/5183?
Answer: GCF of Numerators as per given numbers 3523/924, 8510/5183 is
GCF of Numerators i.e. for 3523,8510 is 1
LCM of denominators i.e. for 924,5183 is 4789092.
Thus, GCF of Fractions is 1/4789092.Finally, GCF of Fractions for 3523/924, 8510/5183 is 1/4789092.