Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6365/853,5528/6237
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 6365,5528
Greatest Common Factor of Numerators i.e. GCF of 6365,5528 is 1 .
LCM of Denominators means LCM of 853,6237 as per the given fractions.
LCM of 853,6237 is 5320161 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6365,5528
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6365
List of positive integer factors of 6365 that divides 6365 without a remainder.
1,5,19,67,95,335,1273,6365
Factors of 5528
List of positive integer factors of 5528 that divides 5528 without a remainder.
1,2,4,8,691,1382,2764,5528
Greatest Common Factor
We found the factors 6365,5528 . The biggest common factor number is the GCF number.
So the greatest common factor 6365,5528 is 1.
Lets's calculate LCM of 853,6237
Given numbers has no common factors except 1. So, there LCM is their product i.e 5320161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5320161
Therefore, the GCF of Fractions 6365/853,5528/6237 is 1/5320161
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 853,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,6237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,6237) x common factors =1 x 1 = 1
LCM(853,6237) = ( 853 × 6237 ) / 1
LCM(853,6237) = 5320161 / 1
LCM(853,6237) = 5320161
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 6365/853, 5528/6237?
Answer: GCF of Numerators as per given numbers 6365/853, 5528/6237 is
GCF of Numerators i.e. for 6365,5528 is 1
LCM of denominators i.e. for 853,6237 is 5320161.
Thus, GCF of Fractions is 1/5320161.Finally, GCF of Fractions for 6365/853, 5528/6237 is 1/5320161.