Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5183/669,4943/607
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 5183,4943
Greatest Common Factor of Numerators i.e. GCF of 5183,4943 is 1 .
LCM of Denominators means LCM of 669,607 as per the given fractions.
LCM of 669,607 is 406083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5183,4943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1,71,73,5183
Factors of 4943
List of positive integer factors of 4943 that divides 4943 without a remainder.
1,4943
Greatest Common Factor
We found the factors 5183,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,4943 is 1.
Lets's calculate LCM of 669,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 406083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406083
Therefore, the GCF of Fractions 5183/669,4943/607 is 1/406083
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 669,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,607) x common factors =1 x 1 = 1
LCM(669,607) = ( 669 × 607 ) / 1
LCM(669,607) = 406083 / 1
LCM(669,607) = 406083
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 5183/669, 4943/607?
Answer: GCF of Numerators as per given numbers 5183/669, 4943/607 is
GCF of Numerators i.e. for 5183,4943 is 1
LCM of denominators i.e. for 669,607 is 406083.
Thus, GCF of Fractions is 1/406083.Finally, GCF of Fractions for 5183/669, 4943/607 is 1/406083.