Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9623/816,7998/4889
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 9623,7998
Greatest Common Factor of Numerators i.e. GCF of 9623,7998 is 1 .
LCM of Denominators means LCM of 816,4889 as per the given fractions.
LCM of 816,4889 is 3989424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9623,7998
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9623
List of positive integer factors of 9623 that divides 9623 without a remainder.
1,9623
Factors of 7998
List of positive integer factors of 7998 that divides 7998 without a remainder.
1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Greatest Common Factor
We found the factors 9623,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 9623,7998 is 1.
Lets's calculate LCM of 816,4889
Given numbers has no common factors except 1. So, there LCM is their product i.e 3989424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3989424
Therefore, the GCF of Fractions 9623/816,7998/4889 is 1/3989424
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 816,4889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4889) x common factors =1 x 1 = 1
LCM(816,4889) = ( 816 × 4889 ) / 1
LCM(816,4889) = 3989424 / 1
LCM(816,4889) = 3989424
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 9623/816, 7998/4889?
Answer: GCF of Numerators as per given numbers 9623/816, 7998/4889 is
GCF of Numerators i.e. for 9623,7998 is 1
LCM of denominators i.e. for 816,4889 is 3989424.
Thus, GCF of Fractions is 1/3989424.Finally, GCF of Fractions for 9623/816, 7998/4889 is 1/3989424.