Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/72,4135/820
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 578,4135
Greatest Common Factor of Numerators i.e. GCF of 578,4135 is 1 .
LCM of Denominators means LCM of 72,820 as per the given fractions.
LCM of 72,820 is 14760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,4135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 4135
List of positive integer factors of 4135 that divides 4135 without a remainder.
1,5,827,4135
Greatest Common Factor
We found the factors 578,4135 . The biggest common factor number is the GCF number.
So the greatest common factor 578,4135 is 1.
Lets's calculate LCM of 72,820
2 | 72, 820 |
2 | 36, 410 |
18, 205 |
∴ So the LCM of the given numbers is 2 x 2 x 18 x 205 = 14760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14760
Therefore, the GCF of Fractions 578/72,4135/820 is 1/14760
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 72,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,820) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(72,820) x common factors =4 x 1 = 4
LCM(72,820) = ( 72 × 820 ) / 4
LCM(72,820) = 59040 / 4
LCM(72,820) = 14760
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 578/72, 4135/820?
Answer: GCF of Numerators as per given numbers 578/72, 4135/820 is
GCF of Numerators i.e. for 578,4135 is 1
LCM of denominators i.e. for 72,820 is 14760.
Thus, GCF of Fractions is 1/14760.Finally, GCF of Fractions for 578/72, 4135/820 is 1/14760.