Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/416,431/858
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 533,431
Greatest Common Factor of Numerators i.e. GCF of 533,431 is 1 .
LCM of Denominators means LCM of 416,858 as per the given fractions.
LCM of 416,858 is 13728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,431
∴ 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 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 533,431 . The biggest common factor number is the GCF number.
So the greatest common factor 533,431 is 1.
Lets's calculate LCM of 416,858
2 | 416, 858 |
13 | 208, 429 |
16, 33 |
∴ So the LCM of the given numbers is 2 x 13 x 16 x 33 = 13728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13728
Therefore, the GCF of Fractions 533/416,431/858 is 1/13728
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 416,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,858) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(416,858) x common factors =26 x 1 = 26
LCM(416,858) = ( 416 × 858 ) / 26
LCM(416,858) = 356928 / 26
LCM(416,858) = 13728
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 533/416, 431/858?
Answer: GCF of Numerators as per given numbers 533/416, 431/858 is
GCF of Numerators i.e. for 533,431 is 1
LCM of denominators i.e. for 416,858 is 13728.
Thus, GCF of Fractions is 1/13728.Finally, GCF of Fractions for 533/416, 431/858 is 1/13728.