Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9402/898,8269/8353
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 9402,8269
Greatest Common Factor of Numerators i.e. GCF of 9402,8269 is 1 .
LCM of Denominators means LCM of 898,8353 as per the given fractions.
LCM of 898,8353 is 7500994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9402,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9402
List of positive integer factors of 9402 that divides 9402 without a remainder.
1,2,3,6,1567,3134,4701,9402
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Greatest Common Factor
We found the factors 9402,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 9402,8269 is 1.
Lets's calculate LCM of 898,8353
Given numbers has no common factors except 1. So, there LCM is their product i.e 7500994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7500994
Therefore, the GCF of Fractions 9402/898,8269/8353 is 1/7500994
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 898,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,8353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,8353) x common factors =1 x 1 = 1
LCM(898,8353) = ( 898 × 8353 ) / 1
LCM(898,8353) = 7500994 / 1
LCM(898,8353) = 7500994
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 9402/898, 8269/8353?
Answer: GCF of Numerators as per given numbers 9402/898, 8269/8353 is
GCF of Numerators i.e. for 9402,8269 is 1
LCM of denominators i.e. for 898,8353 is 7500994.
Thus, GCF of Fractions is 1/7500994.Finally, GCF of Fractions for 9402/898, 8269/8353 is 1/7500994.