Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/866,3838/991
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 876,3838
Greatest Common Factor of Numerators i.e. GCF of 876,3838 is 2 .
LCM of Denominators means LCM of 866,991 as per the given fractions.
LCM of 866,991 is 858206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 876,3838
2 | 876, 3838 |
438, 1919 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1,2,19,38,101,202,1919,3838
Greatest Common Factor
We found the factors 876,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3838 is 2.
Lets's calculate LCM of 866,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 858206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/858206
Therefore, the GCF of Fractions 876/866,3838/991 is 2/858206
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 866,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,991) x common factors =1 x 1 = 1
LCM(866,991) = ( 866 × 991 ) / 1
LCM(866,991) = 858206 / 1
LCM(866,991) = 858206
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 876/866, 3838/991?
Answer: GCF of Numerators as per given numbers 876/866, 3838/991 is
GCF of Numerators i.e. for 876,3838 is 2
LCM of denominators i.e. for 866,991 is 858206.
Thus, GCF of Fractions is 2/858206.Finally, GCF of Fractions for 876/866, 3838/991 is 2/858206.