Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8248/427,1943/6373
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 8248,1943
Greatest Common Factor of Numerators i.e. GCF of 8248,1943 is 1 .
LCM of Denominators means LCM of 427,6373 as per the given fractions.
LCM of 427,6373 is 2721271 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8248,1943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8248
List of positive integer factors of 8248 that divides 8248 without a remainder.
1,2,4,8,1031,2062,4124,8248
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1,29,67,1943
Greatest Common Factor
We found the factors 8248,1943 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,1943 is 1.
Lets's calculate LCM of 427,6373
Given numbers has no common factors except 1. So, there LCM is their product i.e 2721271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2721271
Therefore, the GCF of Fractions 8248/427,1943/6373 is 1/2721271
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 427,6373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,6373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,6373) x common factors =1 x 1 = 1
LCM(427,6373) = ( 427 × 6373 ) / 1
LCM(427,6373) = 2721271 / 1
LCM(427,6373) = 2721271
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 8248/427, 1943/6373?
Answer: GCF of Numerators as per given numbers 8248/427, 1943/6373 is
GCF of Numerators i.e. for 8248,1943 is 1
LCM of denominators i.e. for 427,6373 is 2721271.
Thus, GCF of Fractions is 1/2721271.Finally, GCF of Fractions for 8248/427, 1943/6373 is 1/2721271.