Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 806/130,5628/548
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 806,5628
Greatest Common Factor of Numerators i.e. GCF of 806,5628 is 2 .
LCM of Denominators means LCM of 130,548 as per the given fractions.
LCM of 130,548 is 35620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 806,5628
2 | 806, 5628 |
403, 2814 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 5628
List of positive integer factors of 5628 that divides 5628 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Greatest Common Factor
We found the factors 806,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 806,5628 is 2.
Lets's calculate LCM of 130,548
2 | 130, 548 |
65, 274 |
∴ So the LCM of the given numbers is 2 x 65 x 274 = 35620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35620
Therefore, the GCF of Fractions 806/130,5628/548 is 2/35620
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 130,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,548) x common factors =2 x 1 = 2
LCM(130,548) = ( 130 × 548 ) / 2
LCM(130,548) = 71240 / 2
LCM(130,548) = 35620
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 806/130, 5628/548?
Answer: GCF of Numerators as per given numbers 806/130, 5628/548 is
GCF of Numerators i.e. for 806,5628 is 2
LCM of denominators i.e. for 130,548 is 35620.
Thus, GCF of Fractions is 2/35620.Finally, GCF of Fractions for 806/130, 5628/548 is 2/35620.