Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4964/419,5610/5116
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 4964,5610
Greatest Common Factor of Numerators i.e. GCF of 4964,5610 is 34 .
LCM of Denominators means LCM of 419,5116 as per the given fractions.
LCM of 419,5116 is 2143604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4964,5610
2 | 4964, 5610 |
17 | 2482, 2805 |
146, 165 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 4964
List of positive integer factors of 4964 that divides 4964 without a remainder.
1,2,4,17,34,68,73,146,292,1241,2482,4964
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 4964,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 4964,5610 is 34.
Lets's calculate LCM of 419,5116
Given numbers has no common factors except 1. So, there LCM is their product i.e 2143604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2143604
Therefore, the GCF of Fractions 4964/419,5610/5116 is 34/2143604
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 419,5116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,5116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,5116) x common factors =1 x 1 = 1
LCM(419,5116) = ( 419 × 5116 ) / 1
LCM(419,5116) = 2143604 / 1
LCM(419,5116) = 2143604
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 4964/419, 5610/5116?
Answer: GCF of Numerators as per given numbers 4964/419, 5610/5116 is
GCF of Numerators i.e. for 4964,5610 is 34
LCM of denominators i.e. for 419,5116 is 2143604.
Thus, GCF of Fractions is 34/2143604.Finally, GCF of Fractions for 4964/419, 5610/5116 is 34/2143604.