Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6522/385,5239/808
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 6522,5239
Greatest Common Factor of Numerators i.e. GCF of 6522,5239 is 1 .
LCM of Denominators means LCM of 385,808 as per the given fractions.
LCM of 385,808 is 311080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6522,5239
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6522
List of positive integer factors of 6522 that divides 6522 without a remainder.
1,2,3,6,1087,2174,3261,6522
Factors of 5239
List of positive integer factors of 5239 that divides 5239 without a remainder.
1,13,31,169,403,5239
Greatest Common Factor
We found the factors 6522,5239 . The biggest common factor number is the GCF number.
So the greatest common factor 6522,5239 is 1.
Lets's calculate LCM of 385,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 311080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311080
Therefore, the GCF of Fractions 6522/385,5239/808 is 1/311080
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 385,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,808) x common factors =1 x 1 = 1
LCM(385,808) = ( 385 × 808 ) / 1
LCM(385,808) = 311080 / 1
LCM(385,808) = 311080
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 6522/385, 5239/808?
Answer: GCF of Numerators as per given numbers 6522/385, 5239/808 is
GCF of Numerators i.e. for 6522,5239 is 1
LCM of denominators i.e. for 385,808 is 311080.
Thus, GCF of Fractions is 1/311080.Finally, GCF of Fractions for 6522/385, 5239/808 is 1/311080.