Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9363/765,9052/8179
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 9363,9052
Greatest Common Factor of Numerators i.e. GCF of 9363,9052 is 1 .
LCM of Denominators means LCM of 765,8179 as per the given fractions.
LCM of 765,8179 is 6256935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9363,9052
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9363
List of positive integer factors of 9363 that divides 9363 without a remainder.
1,3,3121,9363
Factors of 9052
List of positive integer factors of 9052 that divides 9052 without a remainder.
1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors 9363,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 9363,9052 is 1.
Lets's calculate LCM of 765,8179
Given numbers has no common factors except 1. So, there LCM is their product i.e 6256935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6256935
Therefore, the GCF of Fractions 9363/765,9052/8179 is 1/6256935
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 765,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,8179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,8179) x common factors =1 x 1 = 1
LCM(765,8179) = ( 765 × 8179 ) / 1
LCM(765,8179) = 6256935 / 1
LCM(765,8179) = 6256935
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 9363/765, 9052/8179?
Answer: GCF of Numerators as per given numbers 9363/765, 9052/8179 is
GCF of Numerators i.e. for 9363,9052 is 1
LCM of denominators i.e. for 765,8179 is 6256935.
Thus, GCF of Fractions is 1/6256935.Finally, GCF of Fractions for 9363/765, 9052/8179 is 1/6256935.