Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8783/111,6305/6832
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 8783,6305
Greatest Common Factor of Numerators i.e. GCF of 8783,6305 is 1 .
LCM of Denominators means LCM of 111,6832 as per the given fractions.
LCM of 111,6832 is 758352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8783,6305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8783
List of positive integer factors of 8783 that divides 8783 without a remainder.
1,8783
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 8783,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 8783,6305 is 1.
Lets's calculate LCM of 111,6832
Given numbers has no common factors except 1. So, there LCM is their product i.e 758352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758352
Therefore, the GCF of Fractions 8783/111,6305/6832 is 1/758352
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 111,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,6832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,6832) x common factors =1 x 1 = 1
LCM(111,6832) = ( 111 × 6832 ) / 1
LCM(111,6832) = 758352 / 1
LCM(111,6832) = 758352
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 8783/111, 6305/6832?
Answer: GCF of Numerators as per given numbers 8783/111, 6305/6832 is
GCF of Numerators i.e. for 8783,6305 is 1
LCM of denominators i.e. for 111,6832 is 758352.
Thus, GCF of Fractions is 1/758352.Finally, GCF of Fractions for 8783/111, 6305/6832 is 1/758352.