Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/13,124/891
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 886,124
Greatest Common Factor of Numerators i.e. GCF of 886,124 is 2 .
LCM of Denominators means LCM of 13,891 as per the given fractions.
LCM of 13,891 is 11583 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,124
2 | 886, 124 |
443, 62 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 886,124 . The biggest common factor number is the GCF number.
So the greatest common factor 886,124 is 2.
Lets's calculate LCM of 13,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 11583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11583
Therefore, the GCF of Fractions 886/13,124/891 is 2/11583
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 13,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,891) x common factors =1 x 1 = 1
LCM(13,891) = ( 13 × 891 ) / 1
LCM(13,891) = 11583 / 1
LCM(13,891) = 11583
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 886/13, 124/891?
Answer: GCF of Numerators as per given numbers 886/13, 124/891 is
GCF of Numerators i.e. for 886,124 is 2
LCM of denominators i.e. for 13,891 is 11583.
Thus, GCF of Fractions is 2/11583.Finally, GCF of Fractions for 886/13, 124/891 is 2/11583.