Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5199/639,9631/8339
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 5199,9631
Greatest Common Factor of Numerators i.e. GCF of 5199,9631 is 1 .
LCM of Denominators means LCM of 639,8339 as per the given fractions.
LCM of 639,8339 is 5328621 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5199,9631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5199
List of positive integer factors of 5199 that divides 5199 without a remainder.
1,3,1733,5199
Factors of 9631
List of positive integer factors of 9631 that divides 9631 without a remainder.
1,9631
Greatest Common Factor
We found the factors 5199,9631 . The biggest common factor number is the GCF number.
So the greatest common factor 5199,9631 is 1.
Lets's calculate LCM of 639,8339
Given numbers has no common factors except 1. So, there LCM is their product i.e 5328621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328621
Therefore, the GCF of Fractions 5199/639,9631/8339 is 1/5328621
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 639,8339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,8339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,8339) x common factors =1 x 1 = 1
LCM(639,8339) = ( 639 × 8339 ) / 1
LCM(639,8339) = 5328621 / 1
LCM(639,8339) = 5328621
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 5199/639, 9631/8339?
Answer: GCF of Numerators as per given numbers 5199/639, 9631/8339 is
GCF of Numerators i.e. for 5199,9631 is 1
LCM of denominators i.e. for 639,8339 is 5328621.
Thus, GCF of Fractions is 1/5328621.Finally, GCF of Fractions for 5199/639, 9631/8339 is 1/5328621.