Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9474/467,5900/708
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 9474,5900
Greatest Common Factor of Numerators i.e. GCF of 9474,5900 is 2 .
LCM of Denominators means LCM of 467,708 as per the given fractions.
LCM of 467,708 is 330636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9474,5900
2 | 9474, 5900 |
4737, 2950 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9474
List of positive integer factors of 9474 that divides 9474 without a remainder.
1,2,3,6,1579,3158,4737,9474
Factors of 5900
List of positive integer factors of 5900 that divides 5900 without a remainder.
1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Greatest Common Factor
We found the factors 9474,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,5900 is 2.
Lets's calculate LCM of 467,708
Given numbers has no common factors except 1. So, there LCM is their product i.e 330636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330636
Therefore, the GCF of Fractions 9474/467,5900/708 is 2/330636
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 467,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,708) x common factors =1 x 1 = 1
LCM(467,708) = ( 467 × 708 ) / 1
LCM(467,708) = 330636 / 1
LCM(467,708) = 330636
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 9474/467, 5900/708?
Answer: GCF of Numerators as per given numbers 9474/467, 5900/708 is
GCF of Numerators i.e. for 9474,5900 is 2
LCM of denominators i.e. for 467,708 is 330636.
Thus, GCF of Fractions is 2/330636.Finally, GCF of Fractions for 9474/467, 5900/708 is 2/330636.