Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 753/38,375/52,400/184
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 753,375,400
Greatest Common Factor of Numerators i.e. GCF of 753,375,400 is 1 .
LCM of Denominators means LCM of 38,52,184 as per the given fractions.
LCM of 38,52,184 is 45448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 753,375,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 753,375,400 . The biggest common factor number is the GCF number.
So the greatest common factor 753,375,400 is 1.
Lets's calculate LCM of 38,52,184
2 | 38, 52, 184 |
2 | 19, 26, 92 |
19, 13, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 13 x 46 = 45448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45448
Therefore, the GCF of Fractions 753/38,375/52,400/184 is 1/45448
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 38,52,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,52,184) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(38,52,184) x common factors =2 x 4 = 8
LCM(38,52,184) = ( 38 × 52 × 184 ) / 8
LCM(38,52,184) = 363584 / 8
LCM(38,52,184) = 45448
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 753/38, 375/52, 400/184?
Answer: GCF of Numerators as per given numbers 753/38, 375/52, 400/184 is
GCF of Numerators i.e. for 753,375,400 is 1
LCM of denominators i.e. for 38,52,184 is 45448.
Thus, GCF of Fractions is 1/45448.Finally, GCF of Fractions for 753/38, 375/52, 400/184 is 1/45448.