Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 538/47,275/3431
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 538,275
Greatest Common Factor of Numerators i.e. GCF of 538,275 is 1 .
LCM of Denominators means LCM of 47,3431 as per the given fractions.
LCM of 47,3431 is 3431 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 538,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 538,275 . The biggest common factor number is the GCF number.
So the greatest common factor 538,275 is 1.
Lets's calculate LCM of 47,3431
47 | 47, 3431 |
1, 73 |
∴ So the LCM of the given numbers is 47 x 1 x 73 = 3431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431
Therefore, the GCF of Fractions 538/47,275/3431 is 1/3431
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 47,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,3431) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(47,3431) x common factors =47 x 1 = 47
LCM(47,3431) = ( 47 × 3431 ) / 47
LCM(47,3431) = 161257 / 47
LCM(47,3431) = 3431
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 538/47, 275/3431?
Answer: GCF of Numerators as per given numbers 538/47, 275/3431 is
GCF of Numerators i.e. for 538,275 is 1
LCM of denominators i.e. for 47,3431 is 3431.
Thus, GCF of Fractions is 1/3431.Finally, GCF of Fractions for 538/47, 275/3431 is 1/3431.