Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/60,711/6405
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 492,711
Greatest Common Factor of Numerators i.e. GCF of 492,711 is 3 .
LCM of Denominators means LCM of 60,6405 as per the given fractions.
LCM of 60,6405 is 25620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,711
3 | 492, 711 |
164, 237 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 492,711 . The biggest common factor number is the GCF number.
So the greatest common factor 492,711 is 3.
Lets's calculate LCM of 60,6405
3 | 60, 6405 |
5 | 20, 2135 |
4, 427 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 427 = 25620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25620
Therefore, the GCF of Fractions 492/60,711/6405 is 3/25620
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 60,6405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,6405) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(60,6405) x common factors =15 x 1 = 15
LCM(60,6405) = ( 60 × 6405 ) / 15
LCM(60,6405) = 384300 / 15
LCM(60,6405) = 25620
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 492/60, 711/6405?
Answer: GCF of Numerators as per given numbers 492/60, 711/6405 is
GCF of Numerators i.e. for 492,711 is 3
LCM of denominators i.e. for 60,6405 is 25620.
Thus, GCF of Fractions is 3/25620.Finally, GCF of Fractions for 492/60, 711/6405 is 3/25620.