Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/33,737/26,689/39
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 6,737,689
Greatest Common Factor of Numerators i.e. GCF of 6,737,689 is 1 .
LCM of Denominators means LCM of 33,26,39 as per the given fractions.
LCM of 33,26,39 is 858 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,737,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors 6,737,689 . The biggest common factor number is the GCF number.
So the greatest common factor 6,737,689 is 1.
Lets's calculate LCM of 33,26,39
3 | 33, 26, 39 |
13 | 11, 26, 13 |
11, 2, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 11 x 2 x 1 = 858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858
Therefore, the GCF of Fractions 6/33,737/26,689/39 is 1/858
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 33,26,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,26,39) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(33,26,39) x common factors =1 x 39 = 39
LCM(33,26,39) = ( 33 × 26 × 39 ) / 39
LCM(33,26,39) = 33462 / 39
LCM(33,26,39) = 858
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 6/33, 737/26, 689/39?
Answer: GCF of Numerators as per given numbers 6/33, 737/26, 689/39 is
GCF of Numerators i.e. for 6,737,689 is 1
LCM of denominators i.e. for 33,26,39 is 858.
Thus, GCF of Fractions is 1/858.Finally, GCF of Fractions for 6/33, 737/26, 689/39 is 1/858.