Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3775/609,4793/704
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 3775,4793
Greatest Common Factor of Numerators i.e. GCF of 3775,4793 is 1 .
LCM of Denominators means LCM of 609,704 as per the given fractions.
LCM of 609,704 is 428736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3775,4793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3775
List of positive integer factors of 3775 that divides 3775 without a remainder.
1,5,25,151,755,3775
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1,4793
Greatest Common Factor
We found the factors 3775,4793 . The biggest common factor number is the GCF number.
So the greatest common factor 3775,4793 is 1.
Lets's calculate LCM of 609,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 428736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428736
Therefore, the GCF of Fractions 3775/609,4793/704 is 1/428736
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 609,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,704) x common factors =1 x 1 = 1
LCM(609,704) = ( 609 × 704 ) / 1
LCM(609,704) = 428736 / 1
LCM(609,704) = 428736
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 3775/609, 4793/704?
Answer: GCF of Numerators as per given numbers 3775/609, 4793/704 is
GCF of Numerators i.e. for 3775,4793 is 1
LCM of denominators i.e. for 609,704 is 428736.
Thus, GCF of Fractions is 1/428736.Finally, GCF of Fractions for 3775/609, 4793/704 is 1/428736.