Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/74,525/54,522/342
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 271,525,522
Greatest Common Factor of Numerators i.e. GCF of 271,525,522 is 1 .
LCM of Denominators means LCM of 74,54,342 as per the given fractions.
LCM of 74,54,342 is 37962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,525,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 271,525,522 . The biggest common factor number is the GCF number.
So the greatest common factor 271,525,522 is 1.
Lets's calculate LCM of 74,54,342
2 | 74, 54, 342 |
3 | 37, 27, 171 |
3 | 37, 9, 57 |
37, 3, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 3 x 19 = 37962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37962
Therefore, the GCF of Fractions 271/74,525/54,522/342 is 1/37962
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 74,54,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,54,342) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(74,54,342) x common factors =2 x 18 = 36
LCM(74,54,342) = ( 74 × 54 × 342 ) / 36
LCM(74,54,342) = 1366632 / 36
LCM(74,54,342) = 37962
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 271/74, 525/54, 522/342?
Answer: GCF of Numerators as per given numbers 271/74, 525/54, 522/342 is
GCF of Numerators i.e. for 271,525,522 is 1
LCM of denominators i.e. for 74,54,342 is 37962.
Thus, GCF of Fractions is 1/37962.Finally, GCF of Fractions for 271/74, 525/54, 522/342 is 1/37962.