Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 656/24,304/6274
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 656,304
Greatest Common Factor of Numerators i.e. GCF of 656,304 is 16 .
LCM of Denominators means LCM of 24,6274 as per the given fractions.
LCM of 24,6274 is 75288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 656,304
2 | 656, 304 |
2 | 328, 152 |
2 | 164, 76 |
2 | 82, 38 |
41, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
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 656,304 . The biggest common factor number is the GCF number.
So the greatest common factor 656,304 is 16.
Lets's calculate LCM of 24,6274
2 | 24, 6274 |
12, 3137 |
∴ So the LCM of the given numbers is 2 x 12 x 3137 = 75288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/75288
Therefore, the GCF of Fractions 656/24,304/6274 is 16/75288
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 24,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,6274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,6274) x common factors =2 x 1 = 2
LCM(24,6274) = ( 24 × 6274 ) / 2
LCM(24,6274) = 150576 / 2
LCM(24,6274) = 75288
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 656/24, 304/6274?
Answer: GCF of Numerators as per given numbers 656/24, 304/6274 is
GCF of Numerators i.e. for 656,304 is 16
LCM of denominators i.e. for 24,6274 is 75288.
Thus, GCF of Fractions is 16/75288.Finally, GCF of Fractions for 656/24, 304/6274 is 16/75288.