Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/619,9325/1943
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 83,9325
Greatest Common Factor of Numerators i.e. GCF of 83,9325 is 1 .
LCM of Denominators means LCM of 619,1943 as per the given fractions.
LCM of 619,1943 is 1202717 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,9325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 9325
List of positive integer factors of 9325 that divides 9325 without a remainder.
1,5,25,373,1865,9325
Greatest Common Factor
We found the factors 83,9325 . The biggest common factor number is the GCF number.
So the greatest common factor 83,9325 is 1.
Lets's calculate LCM of 619,1943
Given numbers has no common factors except 1. So, there LCM is their product i.e 1202717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1202717
Therefore, the GCF of Fractions 83/619,9325/1943 is 1/1202717
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 619,1943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,1943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,1943) x common factors =1 x 1 = 1
LCM(619,1943) = ( 619 × 1943 ) / 1
LCM(619,1943) = 1202717 / 1
LCM(619,1943) = 1202717
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 83/619, 9325/1943?
Answer: GCF of Numerators as per given numbers 83/619, 9325/1943 is
GCF of Numerators i.e. for 83,9325 is 1
LCM of denominators i.e. for 619,1943 is 1202717.
Thus, GCF of Fractions is 1/1202717.Finally, GCF of Fractions for 83/619, 9325/1943 is 1/1202717.