Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1697/809,3785/7475
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 1697,3785
Greatest Common Factor of Numerators i.e. GCF of 1697,3785 is 1 .
LCM of Denominators means LCM of 809,7475 as per the given fractions.
LCM of 809,7475 is 6047275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1697,3785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1697
List of positive integer factors of 1697 that divides 1697 without a remainder.
1,1697
Factors of 3785
List of positive integer factors of 3785 that divides 3785 without a remainder.
1,5,757,3785
Greatest Common Factor
We found the factors 1697,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 1697,3785 is 1.
Lets's calculate LCM of 809,7475
Given numbers has no common factors except 1. So, there LCM is their product i.e 6047275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6047275
Therefore, the GCF of Fractions 1697/809,3785/7475 is 1/6047275
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 809,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,7475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,7475) x common factors =1 x 1 = 1
LCM(809,7475) = ( 809 × 7475 ) / 1
LCM(809,7475) = 6047275 / 1
LCM(809,7475) = 6047275
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 1697/809, 3785/7475?
Answer: GCF of Numerators as per given numbers 1697/809, 3785/7475 is
GCF of Numerators i.e. for 1697,3785 is 1
LCM of denominators i.e. for 809,7475 is 6047275.
Thus, GCF of Fractions is 1/6047275.Finally, GCF of Fractions for 1697/809, 3785/7475 is 1/6047275.