Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8161/886,6496/7181
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 8161,6496
Greatest Common Factor of Numerators i.e. GCF of 8161,6496 is 1 .
LCM of Denominators means LCM of 886,7181 as per the given fractions.
LCM of 886,7181 is 6362366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8161,6496
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1,8161
Factors of 6496
List of positive integer factors of 6496 that divides 6496 without a remainder.
1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496
Greatest Common Factor
We found the factors 8161,6496 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,6496 is 1.
Lets's calculate LCM of 886,7181
Given numbers has no common factors except 1. So, there LCM is their product i.e 6362366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6362366
Therefore, the GCF of Fractions 8161/886,6496/7181 is 1/6362366
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 886,7181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,7181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,7181) x common factors =1 x 1 = 1
LCM(886,7181) = ( 886 × 7181 ) / 1
LCM(886,7181) = 6362366 / 1
LCM(886,7181) = 6362366
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 8161/886, 6496/7181?
Answer: GCF of Numerators as per given numbers 8161/886, 6496/7181 is
GCF of Numerators i.e. for 8161,6496 is 1
LCM of denominators i.e. for 886,7181 is 6362366.
Thus, GCF of Fractions is 1/6362366.Finally, GCF of Fractions for 8161/886, 6496/7181 is 1/6362366.