Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9395/67,9670/584
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 9395,9670
Greatest Common Factor of Numerators i.e. GCF of 9395,9670 is 5 .
LCM of Denominators means LCM of 67,584 as per the given fractions.
LCM of 67,584 is 39128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9395,9670
5 | 9395, 9670 |
1879, 1934 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9395
List of positive integer factors of 9395 that divides 9395 without a remainder.
1,5,1879,9395
Factors of 9670
List of positive integer factors of 9670 that divides 9670 without a remainder.
1,2,5,10,967,1934,4835,9670
Greatest Common Factor
We found the factors 9395,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 9395,9670 is 5.
Lets's calculate LCM of 67,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 39128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39128
Therefore, the GCF of Fractions 9395/67,9670/584 is 5/39128
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 67,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,584) x common factors =1 x 1 = 1
LCM(67,584) = ( 67 × 584 ) / 1
LCM(67,584) = 39128 / 1
LCM(67,584) = 39128
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 9395/67, 9670/584?
Answer: GCF of Numerators as per given numbers 9395/67, 9670/584 is
GCF of Numerators i.e. for 9395,9670 is 5
LCM of denominators i.e. for 67,584 is 39128.
Thus, GCF of Fractions is 5/39128.Finally, GCF of Fractions for 9395/67, 9670/584 is 5/39128.