Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1061/32,5468/383
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 1061,5468
Greatest Common Factor of Numerators i.e. GCF of 1061,5468 is 1 .
LCM of Denominators means LCM of 32,383 as per the given fractions.
LCM of 32,383 is 12256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1061,5468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1,1061
Factors of 5468
List of positive integer factors of 5468 that divides 5468 without a remainder.
1,2,4,1367,2734,5468
Greatest Common Factor
We found the factors 1061,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 1061,5468 is 1.
Lets's calculate LCM of 32,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 12256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12256
Therefore, the GCF of Fractions 1061/32,5468/383 is 1/12256
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 32,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,383) x common factors =1 x 1 = 1
LCM(32,383) = ( 32 × 383 ) / 1
LCM(32,383) = 12256 / 1
LCM(32,383) = 12256
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 1061/32, 5468/383?
Answer: GCF of Numerators as per given numbers 1061/32, 5468/383 is
GCF of Numerators i.e. for 1061,5468 is 1
LCM of denominators i.e. for 32,383 is 12256.
Thus, GCF of Fractions is 1/12256.Finally, GCF of Fractions for 1061/32, 5468/383 is 1/12256.