Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1883/82,5967/393
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 1883,5967
Greatest Common Factor of Numerators i.e. GCF of 1883,5967 is 1 .
LCM of Denominators means LCM of 82,393 as per the given fractions.
LCM of 82,393 is 32226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1883,5967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1883
List of positive integer factors of 1883 that divides 1883 without a remainder.
1,7,269,1883
Factors of 5967
List of positive integer factors of 5967 that divides 5967 without a remainder.
1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Greatest Common Factor
We found the factors 1883,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 1883,5967 is 1.
Lets's calculate LCM of 82,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 32226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32226
Therefore, the GCF of Fractions 1883/82,5967/393 is 1/32226
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 82,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,393) x common factors =1 x 1 = 1
LCM(82,393) = ( 82 × 393 ) / 1
LCM(82,393) = 32226 / 1
LCM(82,393) = 32226
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 1883/82, 5967/393?
Answer: GCF of Numerators as per given numbers 1883/82, 5967/393 is
GCF of Numerators i.e. for 1883,5967 is 1
LCM of denominators i.e. for 82,393 is 32226.
Thus, GCF of Fractions is 1/32226.Finally, GCF of Fractions for 1883/82, 5967/393 is 1/32226.