Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 606/13,802/26,159/546
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 606,802,159
Greatest Common Factor of Numerators i.e. GCF of 606,802,159 is 1 .
LCM of Denominators means LCM of 13,26,546 as per the given fractions.
LCM of 13,26,546 is 546 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 606,802,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 606,802,159 . The biggest common factor number is the GCF number.
So the greatest common factor 606,802,159 is 1.
Lets's calculate LCM of 13,26,546
2 | 13, 26, 546 |
13 | 13, 13, 273 |
1, 1, 21 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 1 x 21 = 546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546
Therefore, the GCF of Fractions 606/13,802/26,159/546 is 1/546
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 13,26,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,26,546) = 13
common factors(in case of two or more numbers have common factors) = 26
GCF(13,26,546) x common factors =13 x 26 = 338
LCM(13,26,546) = ( 13 × 26 × 546 ) / 338
LCM(13,26,546) = 184548 / 338
LCM(13,26,546) = 546
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 606/13, 802/26, 159/546?
Answer: GCF of Numerators as per given numbers 606/13, 802/26, 159/546 is
GCF of Numerators i.e. for 606,802,159 is 1
LCM of denominators i.e. for 13,26,546 is 546.
Thus, GCF of Fractions is 1/546.Finally, GCF of Fractions for 606/13, 802/26, 159/546 is 1/546.