Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5835/44,9698/523
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 5835,9698
Greatest Common Factor of Numerators i.e. GCF of 5835,9698 is 1 .
LCM of Denominators means LCM of 44,523 as per the given fractions.
LCM of 44,523 is 23012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5835,9698
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5835
List of positive integer factors of 5835 that divides 5835 without a remainder.
1,3,5,15,389,1167,1945,5835
Factors of 9698
List of positive integer factors of 9698 that divides 9698 without a remainder.
1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 5835,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 5835,9698 is 1.
Lets's calculate LCM of 44,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 23012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23012
Therefore, the GCF of Fractions 5835/44,9698/523 is 1/23012
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 44,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,523) x common factors =1 x 1 = 1
LCM(44,523) = ( 44 × 523 ) / 1
LCM(44,523) = 23012 / 1
LCM(44,523) = 23012
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 5835/44, 9698/523?
Answer: GCF of Numerators as per given numbers 5835/44, 9698/523 is
GCF of Numerators i.e. for 5835,9698 is 1
LCM of denominators i.e. for 44,523 is 23012.
Thus, GCF of Fractions is 1/23012.Finally, GCF of Fractions for 5835/44, 9698/523 is 1/23012.