Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6610/482,5550/2089
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 6610,5550
Greatest Common Factor of Numerators i.e. GCF of 6610,5550 is 10 .
LCM of Denominators means LCM of 482,2089 as per the given fractions.
LCM of 482,2089 is 1006898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6610,5550
2 | 6610, 5550 |
5 | 3305, 2775 |
661, 555 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 6610
List of positive integer factors of 6610 that divides 6610 without a remainder.
1,2,5,10,661,1322,3305,6610
Factors of 5550
List of positive integer factors of 5550 that divides 5550 without a remainder.
1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550
Greatest Common Factor
We found the factors 6610,5550 . The biggest common factor number is the GCF number.
So the greatest common factor 6610,5550 is 10.
Lets's calculate LCM of 482,2089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1006898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1006898
Therefore, the GCF of Fractions 6610/482,5550/2089 is 10/1006898
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 482,2089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,2089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,2089) x common factors =1 x 1 = 1
LCM(482,2089) = ( 482 × 2089 ) / 1
LCM(482,2089) = 1006898 / 1
LCM(482,2089) = 1006898
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 6610/482, 5550/2089?
Answer: GCF of Numerators as per given numbers 6610/482, 5550/2089 is
GCF of Numerators i.e. for 6610,5550 is 10
LCM of denominators i.e. for 482,2089 is 1006898.
Thus, GCF of Fractions is 10/1006898.Finally, GCF of Fractions for 6610/482, 5550/2089 is 10/1006898.