Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/26,7685/323
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 457,7685
Greatest Common Factor of Numerators i.e. GCF of 457,7685 is 1 .
LCM of Denominators means LCM of 26,323 as per the given fractions.
LCM of 26,323 is 8398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,7685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 457,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 457,7685 is 1.
Lets's calculate LCM of 26,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 8398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8398
Therefore, the GCF of Fractions 457/26,7685/323 is 1/8398
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 26,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,323) x common factors =1 x 1 = 1
LCM(26,323) = ( 26 × 323 ) / 1
LCM(26,323) = 8398 / 1
LCM(26,323) = 8398
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 457/26, 7685/323?
Answer: GCF of Numerators as per given numbers 457/26, 7685/323 is
GCF of Numerators i.e. for 457,7685 is 1
LCM of denominators i.e. for 26,323 is 8398.
Thus, GCF of Fractions is 1/8398.Finally, GCF of Fractions for 457/26, 7685/323 is 1/8398.