Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/255,2617/6727
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 423,2617
Greatest Common Factor of Numerators i.e. GCF of 423,2617 is 1 .
LCM of Denominators means LCM of 255,6727 as per the given fractions.
LCM of 255,6727 is 1715385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 423,2617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 2617
List of positive integer factors of 2617 that divides 2617 without a remainder.
1,2617
Greatest Common Factor
We found the factors 423,2617 . The biggest common factor number is the GCF number.
So the greatest common factor 423,2617 is 1.
Lets's calculate LCM of 255,6727
Given numbers has no common factors except 1. So, there LCM is their product i.e 1715385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1715385
Therefore, the GCF of Fractions 423/255,2617/6727 is 1/1715385
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 255,6727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,6727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,6727) x common factors =1 x 1 = 1
LCM(255,6727) = ( 255 × 6727 ) / 1
LCM(255,6727) = 1715385 / 1
LCM(255,6727) = 1715385
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 423/255, 2617/6727?
Answer: GCF of Numerators as per given numbers 423/255, 2617/6727 is
GCF of Numerators i.e. for 423,2617 is 1
LCM of denominators i.e. for 255,6727 is 1715385.
Thus, GCF of Fractions is 1/1715385.Finally, GCF of Fractions for 423/255, 2617/6727 is 1/1715385.