Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7954/460,3815/7807
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 7954,3815
Greatest Common Factor of Numerators i.e. GCF of 7954,3815 is 1 .
LCM of Denominators means LCM of 460,7807 as per the given fractions.
LCM of 460,7807 is 3591220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7954,3815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7954
List of positive integer factors of 7954 that divides 7954 without a remainder.
1,2,41,82,97,194,3977,7954
Factors of 3815
List of positive integer factors of 3815 that divides 3815 without a remainder.
1,5,7,35,109,545,763,3815
Greatest Common Factor
We found the factors 7954,3815 . The biggest common factor number is the GCF number.
So the greatest common factor 7954,3815 is 1.
Lets's calculate LCM of 460,7807
Given numbers has no common factors except 1. So, there LCM is their product i.e 3591220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3591220
Therefore, the GCF of Fractions 7954/460,3815/7807 is 1/3591220
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 460,7807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,7807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,7807) x common factors =1 x 1 = 1
LCM(460,7807) = ( 460 × 7807 ) / 1
LCM(460,7807) = 3591220 / 1
LCM(460,7807) = 3591220
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 7954/460, 3815/7807?
Answer: GCF of Numerators as per given numbers 7954/460, 3815/7807 is
GCF of Numerators i.e. for 7954,3815 is 1
LCM of denominators i.e. for 460,7807 is 3591220.
Thus, GCF of Fractions is 1/3591220.Finally, GCF of Fractions for 7954/460, 3815/7807 is 1/3591220.