Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/90,52/38,106/513
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 55,52,106
Greatest Common Factor of Numerators i.e. GCF of 55,52,106 is 1 .
LCM of Denominators means LCM of 90,38,513 as per the given fractions.
LCM of 90,38,513 is 5130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,52,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 55,52,106 . The biggest common factor number is the GCF number.
So the greatest common factor 55,52,106 is 1.
Lets's calculate LCM of 90,38,513
2 | 90, 38, 513 |
3 | 45, 19, 513 |
3 | 15, 19, 171 |
19 | 5, 19, 57 |
5, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 5 x 1 x 3 = 5130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5130
Therefore, the GCF of Fractions 55/90,52/38,106/513 is 1/5130
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 90,38,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,38,513) = 1
common factors(in case of two or more numbers have common factors) = 342
GCF(90,38,513) x common factors =1 x 342 = 342
LCM(90,38,513) = ( 90 × 38 × 513 ) / 342
LCM(90,38,513) = 1754460 / 342
LCM(90,38,513) = 5130
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 55/90, 52/38, 106/513?
Answer: GCF of Numerators as per given numbers 55/90, 52/38, 106/513 is
GCF of Numerators i.e. for 55,52,106 is 1
LCM of denominators i.e. for 90,38,513 is 5130.
Thus, GCF of Fractions is 1/5130.Finally, GCF of Fractions for 55/90, 52/38, 106/513 is 1/5130.