Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/62,93/20,205/130
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 28,93,205
Greatest Common Factor of Numerators i.e. GCF of 28,93,205 is 1 .
LCM of Denominators means LCM of 62,20,130 as per the given fractions.
LCM of 62,20,130 is 8060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,93,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 28,93,205 . The biggest common factor number is the GCF number.
So the greatest common factor 28,93,205 is 1.
Lets's calculate LCM of 62,20,130
2 | 62, 20, 130 |
5 | 31, 10, 65 |
31, 2, 13 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 2 x 13 = 8060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8060
Therefore, the GCF of Fractions 28/62,93/20,205/130 is 1/8060
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 62,20,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,20,130) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(62,20,130) x common factors =2 x 10 = 20
LCM(62,20,130) = ( 62 × 20 × 130 ) / 20
LCM(62,20,130) = 161200 / 20
LCM(62,20,130) = 8060
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 28/62, 93/20, 205/130?
Answer: GCF of Numerators as per given numbers 28/62, 93/20, 205/130 is
GCF of Numerators i.e. for 28,93,205 is 1
LCM of denominators i.e. for 62,20,130 is 8060.
Thus, GCF of Fractions is 1/8060.Finally, GCF of Fractions for 28/62, 93/20, 205/130 is 1/8060.