Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/869,7905/7559
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 61,7905
Greatest Common Factor of Numerators i.e. GCF of 61,7905 is 1 .
LCM of Denominators means LCM of 869,7559 as per the given fractions.
LCM of 869,7559 is 6568771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,7905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 7905
List of positive integer factors of 7905 that divides 7905 without a remainder.
1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 61,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 61,7905 is 1.
Lets's calculate LCM of 869,7559
Given numbers has no common factors except 1. So, there LCM is their product i.e 6568771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6568771
Therefore, the GCF of Fractions 61/869,7905/7559 is 1/6568771
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 869,7559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,7559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,7559) x common factors =1 x 1 = 1
LCM(869,7559) = ( 869 × 7559 ) / 1
LCM(869,7559) = 6568771 / 1
LCM(869,7559) = 6568771
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 61/869, 7905/7559?
Answer: GCF of Numerators as per given numbers 61/869, 7905/7559 is
GCF of Numerators i.e. for 61,7905 is 1
LCM of denominators i.e. for 869,7559 is 6568771.
Thus, GCF of Fractions is 1/6568771.Finally, GCF of Fractions for 61/869, 7905/7559 is 1/6568771.