Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7146/41,9467/644
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 7146,9467
Greatest Common Factor of Numerators i.e. GCF of 7146,9467 is 1 .
LCM of Denominators means LCM of 41,644 as per the given fractions.
LCM of 41,644 is 26404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7146,9467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7146
List of positive integer factors of 7146 that divides 7146 without a remainder.
1,2,3,6,9,18,397,794,1191,2382,3573,7146
Factors of 9467
List of positive integer factors of 9467 that divides 9467 without a remainder.
1,9467
Greatest Common Factor
We found the factors 7146,9467 . The biggest common factor number is the GCF number.
So the greatest common factor 7146,9467 is 1.
Lets's calculate LCM of 41,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 26404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26404
Therefore, the GCF of Fractions 7146/41,9467/644 is 1/26404
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 41,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,644) x common factors =1 x 1 = 1
LCM(41,644) = ( 41 × 644 ) / 1
LCM(41,644) = 26404 / 1
LCM(41,644) = 26404
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 7146/41, 9467/644?
Answer: GCF of Numerators as per given numbers 7146/41, 9467/644 is
GCF of Numerators i.e. for 7146,9467 is 1
LCM of denominators i.e. for 41,644 is 26404.
Thus, GCF of Fractions is 1/26404.Finally, GCF of Fractions for 7146/41, 9467/644 is 1/26404.