Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3687/871,4852/6226
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 3687,4852
Greatest Common Factor of Numerators i.e. GCF of 3687,4852 is 1 .
LCM of Denominators means LCM of 871,6226 as per the given fractions.
LCM of 871,6226 is 5422846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3687,4852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3687
List of positive integer factors of 3687 that divides 3687 without a remainder.
1,3,1229,3687
Factors of 4852
List of positive integer factors of 4852 that divides 4852 without a remainder.
1,2,4,1213,2426,4852
Greatest Common Factor
We found the factors 3687,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 3687,4852 is 1.
Lets's calculate LCM of 871,6226
Given numbers has no common factors except 1. So, there LCM is their product i.e 5422846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5422846
Therefore, the GCF of Fractions 3687/871,4852/6226 is 1/5422846
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 871,6226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,6226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,6226) x common factors =1 x 1 = 1
LCM(871,6226) = ( 871 × 6226 ) / 1
LCM(871,6226) = 5422846 / 1
LCM(871,6226) = 5422846
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 3687/871, 4852/6226?
Answer: GCF of Numerators as per given numbers 3687/871, 4852/6226 is
GCF of Numerators i.e. for 3687,4852 is 1
LCM of denominators i.e. for 871,6226 is 5422846.
Thus, GCF of Fractions is 1/5422846.Finally, GCF of Fractions for 3687/871, 4852/6226 is 1/5422846.