Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8234/80,8497/627
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 8234,8497
Greatest Common Factor of Numerators i.e. GCF of 8234,8497 is 1 .
LCM of Denominators means LCM of 80,627 as per the given fractions.
LCM of 80,627 is 50160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8234,8497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8234
List of positive integer factors of 8234 that divides 8234 without a remainder.
1,2,23,46,179,358,4117,8234
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1,29,293,8497
Greatest Common Factor
We found the factors 8234,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,8497 is 1.
Lets's calculate LCM of 80,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 50160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50160
Therefore, the GCF of Fractions 8234/80,8497/627 is 1/50160
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 80,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,627) x common factors =1 x 1 = 1
LCM(80,627) = ( 80 × 627 ) / 1
LCM(80,627) = 50160 / 1
LCM(80,627) = 50160
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 8234/80, 8497/627?
Answer: GCF of Numerators as per given numbers 8234/80, 8497/627 is
GCF of Numerators i.e. for 8234,8497 is 1
LCM of denominators i.e. for 80,627 is 50160.
Thus, GCF of Fractions is 1/50160.Finally, GCF of Fractions for 8234/80, 8497/627 is 1/50160.