Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/23,865/26,771/950
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 533,865,771
Greatest Common Factor of Numerators i.e. GCF of 533,865,771 is 1 .
LCM of Denominators means LCM of 23,26,950 as per the given fractions.
LCM of 23,26,950 is 284050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,865,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 533,865,771 . The biggest common factor number is the GCF number.
So the greatest common factor 533,865,771 is 1.
Lets's calculate LCM of 23,26,950
2 | 23, 26, 950 |
23, 13, 475 |
∴ So the LCM of the given numbers is 2 x 23 x 13 x 475 = 284050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284050
Therefore, the GCF of Fractions 533/23,865/26,771/950 is 1/284050
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 23,26,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,26,950) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,26,950) x common factors =1 x 2 = 2
LCM(23,26,950) = ( 23 × 26 × 950 ) / 2
LCM(23,26,950) = 568100 / 2
LCM(23,26,950) = 284050
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 533/23, 865/26, 771/950?
Answer: GCF of Numerators as per given numbers 533/23, 865/26, 771/950 is
GCF of Numerators i.e. for 533,865,771 is 1
LCM of denominators i.e. for 23,26,950 is 284050.
Thus, GCF of Fractions is 1/284050.Finally, GCF of Fractions for 533/23, 865/26, 771/950 is 1/284050.