Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6402/311,7559/3464
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 6402,7559
Greatest Common Factor of Numerators i.e. GCF of 6402,7559 is 1 .
LCM of Denominators means LCM of 311,3464 as per the given fractions.
LCM of 311,3464 is 1077304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6402,7559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6402
List of positive integer factors of 6402 that divides 6402 without a remainder.
1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402
Factors of 7559
List of positive integer factors of 7559 that divides 7559 without a remainder.
1,7559
Greatest Common Factor
We found the factors 6402,7559 . The biggest common factor number is the GCF number.
So the greatest common factor 6402,7559 is 1.
Lets's calculate LCM of 311,3464
Given numbers has no common factors except 1. So, there LCM is their product i.e 1077304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1077304
Therefore, the GCF of Fractions 6402/311,7559/3464 is 1/1077304
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 311,3464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,3464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,3464) x common factors =1 x 1 = 1
LCM(311,3464) = ( 311 × 3464 ) / 1
LCM(311,3464) = 1077304 / 1
LCM(311,3464) = 1077304
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 6402/311, 7559/3464?
Answer: GCF of Numerators as per given numbers 6402/311, 7559/3464 is
GCF of Numerators i.e. for 6402,7559 is 1
LCM of denominators i.e. for 311,3464 is 1077304.
Thus, GCF of Fractions is 1/1077304.Finally, GCF of Fractions for 6402/311, 7559/3464 is 1/1077304.