Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/23,32/69,90/236,415/392
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 5,32,90,415
Greatest Common Factor of Numerators i.e. GCF of 5,32,90,415 is 1 .
LCM of Denominators means LCM of 23,69,236,392 as per the given fractions.
LCM of 23,69,236,392 is 1595832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,32,90,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 5,32,90,415 . The biggest common factor number is the GCF number.
So the greatest common factor 5,32,90,415 is 1.
Lets's calculate LCM of 23,69,236,392
2 | 23, 69, 236, 392 |
2 | 23, 69, 118, 196 |
23 | 23, 69, 59, 98 |
1, 3, 59, 98 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 3 x 59 x 98 = 1595832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1595832
Therefore, the GCF of Fractions 5/23,32/69,90/236,415/392 is 1/1595832
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 23,69,236,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,69,236,392) = 1
common factors(in case of two or more numbers have common factors) = 92
GCF(23,69,236,392) x common factors =1 x 92 = 92
LCM(23,69,236,392) = ( 23 × 69 × 236 × 392 ) / 92
LCM(23,69,236,392) = 146816544 / 92
LCM(23,69,236,392) = 1595832
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 5/23, 32/69, 90/236, 415/392?
Answer: GCF of Numerators as per given numbers 5/23, 32/69, 90/236, 415/392 is
GCF of Numerators i.e. for 5,32,90,415 is 1
LCM of denominators i.e. for 23,69,236,392 is 1595832.
Thus, GCF of Fractions is 1/1595832.Finally, GCF of Fractions for 5/23, 32/69, 90/236, 415/392 is 1/1595832.