Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/6461,304/9313
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 592,304
Greatest Common Factor of Numerators i.e. GCF of 592,304 is 16 .
LCM of Denominators means LCM of 6461,9313 as per the given fractions.
LCM of 6461,9313 is 60171293 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 592,304
2 | 592, 304 |
2 | 296, 152 |
2 | 148, 76 |
2 | 74, 38 |
37, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 592,304 . The biggest common factor number is the GCF number.
So the greatest common factor 592,304 is 16.
Lets's calculate LCM of 6461,9313
Given numbers has no common factors except 1. So, there LCM is their product i.e 60171293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/60171293
Therefore, the GCF of Fractions 592/6461,304/9313 is 16/60171293
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 6461,9313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6461,9313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6461,9313) x common factors =1 x 1 = 1
LCM(6461,9313) = ( 6461 × 9313 ) / 1
LCM(6461,9313) = 60171293 / 1
LCM(6461,9313) = 60171293
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 592/6461, 304/9313?
Answer: GCF of Numerators as per given numbers 592/6461, 304/9313 is
GCF of Numerators i.e. for 592,304 is 16
LCM of denominators i.e. for 6461,9313 is 60171293.
Thus, GCF of Fractions is 16/60171293.Finally, GCF of Fractions for 592/6461, 304/9313 is 16/60171293.