Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2427/141,1021/3176
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 2427,1021
Greatest Common Factor of Numerators i.e. GCF of 2427,1021 is 1 .
LCM of Denominators means LCM of 141,3176 as per the given fractions.
LCM of 141,3176 is 447816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2427,1021
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2427
List of positive integer factors of 2427 that divides 2427 without a remainder.
1,3,809,2427
Factors of 1021
List of positive integer factors of 1021 that divides 1021 without a remainder.
1,1021
Greatest Common Factor
We found the factors 2427,1021 . The biggest common factor number is the GCF number.
So the greatest common factor 2427,1021 is 1.
Lets's calculate LCM of 141,3176
Given numbers has no common factors except 1. So, there LCM is their product i.e 447816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447816
Therefore, the GCF of Fractions 2427/141,1021/3176 is 1/447816
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 141,3176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,3176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,3176) x common factors =1 x 1 = 1
LCM(141,3176) = ( 141 × 3176 ) / 1
LCM(141,3176) = 447816 / 1
LCM(141,3176) = 447816
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 2427/141, 1021/3176?
Answer: GCF of Numerators as per given numbers 2427/141, 1021/3176 is
GCF of Numerators i.e. for 2427,1021 is 1
LCM of denominators i.e. for 141,3176 is 447816.
Thus, GCF of Fractions is 1/447816.Finally, GCF of Fractions for 2427/141, 1021/3176 is 1/447816.