Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/586,9390/5670
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 947,9390
Greatest Common Factor of Numerators i.e. GCF of 947,9390 is 1 .
LCM of Denominators means LCM of 586,5670 as per the given fractions.
LCM of 586,5670 is 1661310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,9390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 9390
List of positive integer factors of 9390 that divides 9390 without a remainder.
1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390
Greatest Common Factor
We found the factors 947,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 947,9390 is 1.
Lets's calculate LCM of 586,5670
2 | 586, 5670 |
293, 2835 |
∴ So the LCM of the given numbers is 2 x 293 x 2835 = 1661310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1661310
Therefore, the GCF of Fractions 947/586,9390/5670 is 1/1661310
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 586,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,5670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,5670) x common factors =2 x 1 = 2
LCM(586,5670) = ( 586 × 5670 ) / 2
LCM(586,5670) = 3322620 / 2
LCM(586,5670) = 1661310
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 947/586, 9390/5670?
Answer: GCF of Numerators as per given numbers 947/586, 9390/5670 is
GCF of Numerators i.e. for 947,9390 is 1
LCM of denominators i.e. for 586,5670 is 1661310.
Thus, GCF of Fractions is 1/1661310.Finally, GCF of Fractions for 947/586, 9390/5670 is 1/1661310.