Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5854/985,1566/826
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 5854,1566
Greatest Common Factor of Numerators i.e. GCF of 5854,1566 is 2 .
LCM of Denominators means LCM of 985,826 as per the given fractions.
LCM of 985,826 is 813610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5854,1566
2 | 5854, 1566 |
2927, 783 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5854
List of positive integer factors of 5854 that divides 5854 without a remainder.
1,2,2927,5854
Factors of 1566
List of positive integer factors of 1566 that divides 1566 without a remainder.
1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 5854,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 5854,1566 is 2.
Lets's calculate LCM of 985,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 813610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/813610
Therefore, the GCF of Fractions 5854/985,1566/826 is 2/813610
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 985,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,826) x common factors =1 x 1 = 1
LCM(985,826) = ( 985 × 826 ) / 1
LCM(985,826) = 813610 / 1
LCM(985,826) = 813610
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 5854/985, 1566/826?
Answer: GCF of Numerators as per given numbers 5854/985, 1566/826 is
GCF of Numerators i.e. for 5854,1566 is 2
LCM of denominators i.e. for 985,826 is 813610.
Thus, GCF of Fractions is 2/813610.Finally, GCF of Fractions for 5854/985, 1566/826 is 2/813610.