Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 858/813,6877/760
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 858,6877
Greatest Common Factor of Numerators i.e. GCF of 858,6877 is 13 .
LCM of Denominators means LCM of 813,760 as per the given fractions.
LCM of 813,760 is 617880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 858,6877
13 | 858, 6877 |
66, 529 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 6877
List of positive integer factors of 6877 that divides 6877 without a remainder.
1,13,23,299,529,6877
Greatest Common Factor
We found the factors 858,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 858,6877 is 13.
Lets's calculate LCM of 813,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 617880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/617880
Therefore, the GCF of Fractions 858/813,6877/760 is 13/617880
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 813,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,760) x common factors =1 x 1 = 1
LCM(813,760) = ( 813 × 760 ) / 1
LCM(813,760) = 617880 / 1
LCM(813,760) = 617880
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 858/813, 6877/760?
Answer: GCF of Numerators as per given numbers 858/813, 6877/760 is
GCF of Numerators i.e. for 858,6877 is 13
LCM of denominators i.e. for 813,760 is 617880.
Thus, GCF of Fractions is 13/617880.Finally, GCF of Fractions for 858/813, 6877/760 is 13/617880.