Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9810/973,8359/863
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 9810,8359
Greatest Common Factor of Numerators i.e. GCF of 9810,8359 is 1 .
LCM of Denominators means LCM of 973,863 as per the given fractions.
LCM of 973,863 is 839699 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9810,8359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9810
List of positive integer factors of 9810 that divides 9810 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1,13,643,8359
Greatest Common Factor
We found the factors 9810,8359 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,8359 is 1.
Lets's calculate LCM of 973,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 839699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839699
Therefore, the GCF of Fractions 9810/973,8359/863 is 1/839699
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 973,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,863) x common factors =1 x 1 = 1
LCM(973,863) = ( 973 × 863 ) / 1
LCM(973,863) = 839699 / 1
LCM(973,863) = 839699
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 9810/973, 8359/863?
Answer: GCF of Numerators as per given numbers 9810/973, 8359/863 is
GCF of Numerators i.e. for 9810,8359 is 1
LCM of denominators i.e. for 973,863 is 839699.
Thus, GCF of Fractions is 1/839699.Finally, GCF of Fractions for 9810/973, 8359/863 is 1/839699.