Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3921/67,4885/246
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 3921,4885
Greatest Common Factor of Numerators i.e. GCF of 3921,4885 is 1 .
LCM of Denominators means LCM of 67,246 as per the given fractions.
LCM of 67,246 is 16482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3921,4885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3921
List of positive integer factors of 3921 that divides 3921 without a remainder.
1,3,1307,3921
Factors of 4885
List of positive integer factors of 4885 that divides 4885 without a remainder.
1,5,977,4885
Greatest Common Factor
We found the factors 3921,4885 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,4885 is 1.
Lets's calculate LCM of 67,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 16482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16482
Therefore, the GCF of Fractions 3921/67,4885/246 is 1/16482
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 67,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,246) x common factors =1 x 1 = 1
LCM(67,246) = ( 67 × 246 ) / 1
LCM(67,246) = 16482 / 1
LCM(67,246) = 16482
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 3921/67, 4885/246?
Answer: GCF of Numerators as per given numbers 3921/67, 4885/246 is
GCF of Numerators i.e. for 3921,4885 is 1
LCM of denominators i.e. for 67,246 is 16482.
Thus, GCF of Fractions is 1/16482.Finally, GCF of Fractions for 3921/67, 4885/246 is 1/16482.