Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9195/767,7866/2561
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 9195,7866
Greatest Common Factor of Numerators i.e. GCF of 9195,7866 is 3 .
LCM of Denominators means LCM of 767,2561 as per the given fractions.
LCM of 767,2561 is 151099 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9195,7866
3 | 9195, 7866 |
3065, 2622 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9195
List of positive integer factors of 9195 that divides 9195 without a remainder.
1,3,5,15,613,1839,3065,9195
Factors of 7866
List of positive integer factors of 7866 that divides 7866 without a remainder.
1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866
Greatest Common Factor
We found the factors 9195,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 9195,7866 is 3.
Lets's calculate LCM of 767,2561
13 | 767, 2561 |
59, 197 |
∴ So the LCM of the given numbers is 13 x 59 x 197 = 151099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151099
Therefore, the GCF of Fractions 9195/767,7866/2561 is 3/151099
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 767,2561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,2561) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(767,2561) x common factors =13 x 1 = 13
LCM(767,2561) = ( 767 × 2561 ) / 13
LCM(767,2561) = 1964287 / 13
LCM(767,2561) = 151099
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 9195/767, 7866/2561?
Answer: GCF of Numerators as per given numbers 9195/767, 7866/2561 is
GCF of Numerators i.e. for 9195,7866 is 3
LCM of denominators i.e. for 767,2561 is 151099.
Thus, GCF of Fractions is 3/151099.Finally, GCF of Fractions for 9195/767, 7866/2561 is 3/151099.