Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6067/853,7015/342
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 6067,7015
Greatest Common Factor of Numerators i.e. GCF of 6067,7015 is 1 .
LCM of Denominators means LCM of 853,342 as per the given fractions.
LCM of 853,342 is 291726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6067,7015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6067
List of positive integer factors of 6067 that divides 6067 without a remainder.
1,6067
Factors of 7015
List of positive integer factors of 7015 that divides 7015 without a remainder.
1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors 6067,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 6067,7015 is 1.
Lets's calculate LCM of 853,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 291726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291726
Therefore, the GCF of Fractions 6067/853,7015/342 is 1/291726
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 853,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,342) x common factors =1 x 1 = 1
LCM(853,342) = ( 853 × 342 ) / 1
LCM(853,342) = 291726 / 1
LCM(853,342) = 291726
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 6067/853, 7015/342?
Answer: GCF of Numerators as per given numbers 6067/853, 7015/342 is
GCF of Numerators i.e. for 6067,7015 is 1
LCM of denominators i.e. for 853,342 is 291726.
Thus, GCF of Fractions is 1/291726.Finally, GCF of Fractions for 6067/853, 7015/342 is 1/291726.