Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8382/933,9773/4319
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 8382,9773
Greatest Common Factor of Numerators i.e. GCF of 8382,9773 is 1 .
LCM of Denominators means LCM of 933,4319 as per the given fractions.
LCM of 933,4319 is 4029627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8382,9773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8382
List of positive integer factors of 8382 that divides 8382 without a remainder.
1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382
Factors of 9773
List of positive integer factors of 9773 that divides 9773 without a remainder.
1,29,337,9773
Greatest Common Factor
We found the factors 8382,9773 . The biggest common factor number is the GCF number.
So the greatest common factor 8382,9773 is 1.
Lets's calculate LCM of 933,4319
Given numbers has no common factors except 1. So, there LCM is their product i.e 4029627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4029627
Therefore, the GCF of Fractions 8382/933,9773/4319 is 1/4029627
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 933,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,4319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,4319) x common factors =1 x 1 = 1
LCM(933,4319) = ( 933 × 4319 ) / 1
LCM(933,4319) = 4029627 / 1
LCM(933,4319) = 4029627
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 8382/933, 9773/4319?
Answer: GCF of Numerators as per given numbers 8382/933, 9773/4319 is
GCF of Numerators i.e. for 8382,9773 is 1
LCM of denominators i.e. for 933,4319 is 4029627.
Thus, GCF of Fractions is 1/4029627.Finally, GCF of Fractions for 8382/933, 9773/4319 is 1/4029627.