Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5476/327,5594/5309
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 5476,5594
Greatest Common Factor of Numerators i.e. GCF of 5476,5594 is 2 .
LCM of Denominators means LCM of 327,5309 as per the given fractions.
LCM of 327,5309 is 1736043 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5476,5594
2 | 5476, 5594 |
2738, 2797 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5476
List of positive integer factors of 5476 that divides 5476 without a remainder.
1,2,4,37,74,148,1369,2738,5476
Factors of 5594
List of positive integer factors of 5594 that divides 5594 without a remainder.
1,2,2797,5594
Greatest Common Factor
We found the factors 5476,5594 . The biggest common factor number is the GCF number.
So the greatest common factor 5476,5594 is 2.
Lets's calculate LCM of 327,5309
Given numbers has no common factors except 1. So, there LCM is their product i.e 1736043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1736043
Therefore, the GCF of Fractions 5476/327,5594/5309 is 2/1736043
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 327,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,5309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,5309) x common factors =1 x 1 = 1
LCM(327,5309) = ( 327 × 5309 ) / 1
LCM(327,5309) = 1736043 / 1
LCM(327,5309) = 1736043
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 5476/327, 5594/5309?
Answer: GCF of Numerators as per given numbers 5476/327, 5594/5309 is
GCF of Numerators i.e. for 5476,5594 is 2
LCM of denominators i.e. for 327,5309 is 1736043.
Thus, GCF of Fractions is 2/1736043.Finally, GCF of Fractions for 5476/327, 5594/5309 is 2/1736043.