Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/83,851/9842
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 268,851
Greatest Common Factor of Numerators i.e. GCF of 268,851 is 1 .
LCM of Denominators means LCM of 83,9842 as per the given fractions.
LCM of 83,9842 is 816886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 268,851 . The biggest common factor number is the GCF number.
So the greatest common factor 268,851 is 1.
Lets's calculate LCM of 83,9842
Given numbers has no common factors except 1. So, there LCM is their product i.e 816886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816886
Therefore, the GCF of Fractions 268/83,851/9842 is 1/816886
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 83,9842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,9842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,9842) x common factors =1 x 1 = 1
LCM(83,9842) = ( 83 × 9842 ) / 1
LCM(83,9842) = 816886 / 1
LCM(83,9842) = 816886
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 268/83, 851/9842?
Answer: GCF of Numerators as per given numbers 268/83, 851/9842 is
GCF of Numerators i.e. for 268,851 is 1
LCM of denominators i.e. for 83,9842 is 816886.
Thus, GCF of Fractions is 1/816886.Finally, GCF of Fractions for 268/83, 851/9842 is 1/816886.