Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 101/49,324/8961
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 101,324
Greatest Common Factor of Numerators i.e. GCF of 101,324 is 1 .
LCM of Denominators means LCM of 49,8961 as per the given fractions.
LCM of 49,8961 is 439089 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 101,324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 101,324 . The biggest common factor number is the GCF number.
So the greatest common factor 101,324 is 1.
Lets's calculate LCM of 49,8961
Given numbers has no common factors except 1. So, there LCM is their product i.e 439089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439089
Therefore, the GCF of Fractions 101/49,324/8961 is 1/439089
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 49,8961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,8961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,8961) x common factors =1 x 1 = 1
LCM(49,8961) = ( 49 × 8961 ) / 1
LCM(49,8961) = 439089 / 1
LCM(49,8961) = 439089
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 101/49, 324/8961?
Answer: GCF of Numerators as per given numbers 101/49, 324/8961 is
GCF of Numerators i.e. for 101,324 is 1
LCM of denominators i.e. for 49,8961 is 439089.
Thus, GCF of Fractions is 1/439089.Finally, GCF of Fractions for 101/49, 324/8961 is 1/439089.