Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/90,57/57,87/814,271/182
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 2,57,87,271
Greatest Common Factor of Numerators i.e. GCF of 2,57,87,271 is 1 .
LCM of Denominators means LCM of 90,57,814,182 as per the given fractions.
LCM of 90,57,814,182 is 63333270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,57,87,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 2,57,87,271 . The biggest common factor number is the GCF number.
So the greatest common factor 2,57,87,271 is 1.
Lets's calculate LCM of 90,57,814,182
2 | 90, 57, 814, 182 |
3 | 45, 57, 407, 91 |
15, 19, 407, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 19 x 407 x 91 = 63333270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63333270
Therefore, the GCF of Fractions 2/90,57/57,87/814,271/182 is 1/63333270
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 90,57,814,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,57,814,182) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(90,57,814,182) x common factors =1 x 12 = 12
LCM(90,57,814,182) = ( 90 × 57 × 814 × 182 ) / 12
LCM(90,57,814,182) = 759999240 / 12
LCM(90,57,814,182) = 63333270
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 2/90, 57/57, 87/814, 271/182?
Answer: GCF of Numerators as per given numbers 2/90, 57/57, 87/814, 271/182 is
GCF of Numerators i.e. for 2,57,87,271 is 1
LCM of denominators i.e. for 90,57,814,182 is 63333270.
Thus, GCF of Fractions is 1/63333270.Finally, GCF of Fractions for 2/90, 57/57, 87/814, 271/182 is 1/63333270.