Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9544/136,2024/4797
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 9544,2024
Greatest Common Factor of Numerators i.e. GCF of 9544,2024 is 8 .
LCM of Denominators means LCM of 136,4797 as per the given fractions.
LCM of 136,4797 is 652392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9544,2024
2 | 9544, 2024 |
2 | 4772, 1012 |
2 | 2386, 506 |
1193, 253 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 9544
List of positive integer factors of 9544 that divides 9544 without a remainder.
1,2,4,8,1193,2386,4772,9544
Factors of 2024
List of positive integer factors of 2024 that divides 2024 without a remainder.
1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 9544,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,2024 is 8.
Lets's calculate LCM of 136,4797
Given numbers has no common factors except 1. So, there LCM is their product i.e 652392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/652392
Therefore, the GCF of Fractions 9544/136,2024/4797 is 8/652392
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 136,4797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,4797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,4797) x common factors =1 x 1 = 1
LCM(136,4797) = ( 136 × 4797 ) / 1
LCM(136,4797) = 652392 / 1
LCM(136,4797) = 652392
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 9544/136, 2024/4797?
Answer: GCF of Numerators as per given numbers 9544/136, 2024/4797 is
GCF of Numerators i.e. for 9544,2024 is 8
LCM of denominators i.e. for 136,4797 is 652392.
Thus, GCF of Fractions is 8/652392.Finally, GCF of Fractions for 9544/136, 2024/4797 is 8/652392.