Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8691/63,5765/458
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 8691,5765
Greatest Common Factor of Numerators i.e. GCF of 8691,5765 is 1 .
LCM of Denominators means LCM of 63,458 as per the given fractions.
LCM of 63,458 is 28854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8691,5765
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8691
List of positive integer factors of 8691 that divides 8691 without a remainder.
1,3,2897,8691
Factors of 5765
List of positive integer factors of 5765 that divides 5765 without a remainder.
1,5,1153,5765
Greatest Common Factor
We found the factors 8691,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,5765 is 1.
Lets's calculate LCM of 63,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 28854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28854
Therefore, the GCF of Fractions 8691/63,5765/458 is 1/28854
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 63,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,458) x common factors =1 x 1 = 1
LCM(63,458) = ( 63 × 458 ) / 1
LCM(63,458) = 28854 / 1
LCM(63,458) = 28854
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 8691/63, 5765/458?
Answer: GCF of Numerators as per given numbers 8691/63, 5765/458 is
GCF of Numerators i.e. for 8691,5765 is 1
LCM of denominators i.e. for 63,458 is 28854.
Thus, GCF of Fractions is 1/28854.Finally, GCF of Fractions for 8691/63, 5765/458 is 1/28854.