Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5918/467,1664/9712
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 5918,1664
Greatest Common Factor of Numerators i.e. GCF of 5918,1664 is 2 .
LCM of Denominators means LCM of 467,9712 as per the given fractions.
LCM of 467,9712 is 4535504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5918,1664
2 | 5918, 1664 |
2959, 832 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5918
List of positive integer factors of 5918 that divides 5918 without a remainder.
1,2,11,22,269,538,2959,5918
Factors of 1664
List of positive integer factors of 1664 that divides 1664 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Greatest Common Factor
We found the factors 5918,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 5918,1664 is 2.
Lets's calculate LCM of 467,9712
Given numbers has no common factors except 1. So, there LCM is their product i.e 4535504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4535504
Therefore, the GCF of Fractions 5918/467,1664/9712 is 2/4535504
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 467,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,9712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,9712) x common factors =1 x 1 = 1
LCM(467,9712) = ( 467 × 9712 ) / 1
LCM(467,9712) = 4535504 / 1
LCM(467,9712) = 4535504
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 5918/467, 1664/9712?
Answer: GCF of Numerators as per given numbers 5918/467, 1664/9712 is
GCF of Numerators i.e. for 5918,1664 is 2
LCM of denominators i.e. for 467,9712 is 4535504.
Thus, GCF of Fractions is 2/4535504.Finally, GCF of Fractions for 5918/467, 1664/9712 is 2/4535504.