Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/874,675/499,127/367
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 533,675,127
Greatest Common Factor of Numerators i.e. GCF of 533,675,127 is 1 .
LCM of Denominators means LCM of 874,499,367 as per the given fractions.
LCM of 874,499,367 is 160058242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,675,127
∴ 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 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 533,675,127 . The biggest common factor number is the GCF number.
So the greatest common factor 533,675,127 is 1.
Lets's calculate LCM of 874,499,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 160058242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160058242
Therefore, the GCF of Fractions 533/874,675/499,127/367 is 1/160058242
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 874,499,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,499,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,499,367) x common factors =1 x 1 = 1
LCM(874,499,367) = ( 874 × 499 × 367 ) / 1
LCM(874,499,367) = 160058242 / 1
LCM(874,499,367) = 160058242
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 533/874, 675/499, 127/367?
Answer: GCF of Numerators as per given numbers 533/874, 675/499, 127/367 is
GCF of Numerators i.e. for 533,675,127 is 1
LCM of denominators i.e. for 874,499,367 is 160058242.
Thus, GCF of Fractions is 1/160058242.Finally, GCF of Fractions for 533/874, 675/499, 127/367 is 1/160058242.