Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6909/814,8042/4405
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 6909,8042
Greatest Common Factor of Numerators i.e. GCF of 6909,8042 is 1 .
LCM of Denominators means LCM of 814,4405 as per the given fractions.
LCM of 814,4405 is 3585670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6909,8042
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6909
List of positive integer factors of 6909 that divides 6909 without a remainder.
1,3,7,21,47,49,141,147,329,987,2303,6909
Factors of 8042
List of positive integer factors of 8042 that divides 8042 without a remainder.
1,2,4021,8042
Greatest Common Factor
We found the factors 6909,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 6909,8042 is 1.
Lets's calculate LCM of 814,4405
Given numbers has no common factors except 1. So, there LCM is their product i.e 3585670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3585670
Therefore, the GCF of Fractions 6909/814,8042/4405 is 1/3585670
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 814,4405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,4405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,4405) x common factors =1 x 1 = 1
LCM(814,4405) = ( 814 × 4405 ) / 1
LCM(814,4405) = 3585670 / 1
LCM(814,4405) = 3585670
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 6909/814, 8042/4405?
Answer: GCF of Numerators as per given numbers 6909/814, 8042/4405 is
GCF of Numerators i.e. for 6909,8042 is 1
LCM of denominators i.e. for 814,4405 is 3585670.
Thus, GCF of Fractions is 1/3585670.Finally, GCF of Fractions for 6909/814, 8042/4405 is 1/3585670.