Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1494/26,3569/760
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 1494,3569
Greatest Common Factor of Numerators i.e. GCF of 1494,3569 is 83 .
LCM of Denominators means LCM of 26,760 as per the given fractions.
LCM of 26,760 is 9880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1494,3569
83 | 1494, 3569 |
18, 43 |
∴ So the GCF of the given numbers is 83 = 83
Factors of 1494
List of positive integer factors of 1494 that divides 1494 without a remainder.
1,2,3,6,9,18,83,166,249,498,747,1494
Factors of 3569
List of positive integer factors of 3569 that divides 3569 without a remainder.
1,43,83,3569
Greatest Common Factor
We found the factors 1494,3569 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,3569 is 83.
Lets's calculate LCM of 26,760
2 | 26, 760 |
13, 380 |
∴ So the LCM of the given numbers is 2 x 13 x 380 = 9880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/9880
Therefore, the GCF of Fractions 1494/26,3569/760 is 83/9880
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 26,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,760) x common factors =2 x 1 = 2
LCM(26,760) = ( 26 × 760 ) / 2
LCM(26,760) = 19760 / 2
LCM(26,760) = 9880
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 1494/26, 3569/760?
Answer: GCF of Numerators as per given numbers 1494/26, 3569/760 is
GCF of Numerators i.e. for 1494,3569 is 83
LCM of denominators i.e. for 26,760 is 9880.
Thus, GCF of Fractions is 83/9880.Finally, GCF of Fractions for 1494/26, 3569/760 is 83/9880.