Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8847/553,5994/5078
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 8847,5994
Greatest Common Factor of Numerators i.e. GCF of 8847,5994 is 9 .
LCM of Denominators means LCM of 553,5078 as per the given fractions.
LCM of 553,5078 is 2808134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8847,5994
3 | 8847, 5994 |
3 | 2949, 1998 |
983, 666 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 8847
List of positive integer factors of 8847 that divides 8847 without a remainder.
1,3,9,983,2949,8847
Factors of 5994
List of positive integer factors of 5994 that divides 5994 without a remainder.
1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994
Greatest Common Factor
We found the factors 8847,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 8847,5994 is 9.
Lets's calculate LCM of 553,5078
Given numbers has no common factors except 1. So, there LCM is their product i.e 2808134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2808134
Therefore, the GCF of Fractions 8847/553,5994/5078 is 9/2808134
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 553,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,5078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,5078) x common factors =1 x 1 = 1
LCM(553,5078) = ( 553 × 5078 ) / 1
LCM(553,5078) = 2808134 / 1
LCM(553,5078) = 2808134
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 8847/553, 5994/5078?
Answer: GCF of Numerators as per given numbers 8847/553, 5994/5078 is
GCF of Numerators i.e. for 8847,5994 is 9
LCM of denominators i.e. for 553,5078 is 2808134.
Thus, GCF of Fractions is 9/2808134.Finally, GCF of Fractions for 8847/553, 5994/5078 is 9/2808134.