Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8944/611,8558/5493
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 8944,8558
Greatest Common Factor of Numerators i.e. GCF of 8944,8558 is 2 .
LCM of Denominators means LCM of 611,5493 as per the given fractions.
LCM of 611,5493 is 3356223 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8944,8558
2 | 8944, 8558 |
4472, 4279 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8944
List of positive integer factors of 8944 that divides 8944 without a remainder.
1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944
Factors of 8558
List of positive integer factors of 8558 that divides 8558 without a remainder.
1,2,11,22,389,778,4279,8558
Greatest Common Factor
We found the factors 8944,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 8944,8558 is 2.
Lets's calculate LCM of 611,5493
Given numbers has no common factors except 1. So, there LCM is their product i.e 3356223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3356223
Therefore, the GCF of Fractions 8944/611,8558/5493 is 2/3356223
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 611,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,5493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,5493) x common factors =1 x 1 = 1
LCM(611,5493) = ( 611 × 5493 ) / 1
LCM(611,5493) = 3356223 / 1
LCM(611,5493) = 3356223
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 8944/611, 8558/5493?
Answer: GCF of Numerators as per given numbers 8944/611, 8558/5493 is
GCF of Numerators i.e. for 8944,8558 is 2
LCM of denominators i.e. for 611,5493 is 3356223.
Thus, GCF of Fractions is 2/3356223.Finally, GCF of Fractions for 8944/611, 8558/5493 is 2/3356223.