Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2021/912,1389/461
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 2021,1389
Greatest Common Factor of Numerators i.e. GCF of 2021,1389 is 1 .
LCM of Denominators means LCM of 912,461 as per the given fractions.
LCM of 912,461 is 420432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2021,1389
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2021
List of positive integer factors of 2021 that divides 2021 without a remainder.
1,43,47,2021
Factors of 1389
List of positive integer factors of 1389 that divides 1389 without a remainder.
1,3,463,1389
Greatest Common Factor
We found the factors 2021,1389 . The biggest common factor number is the GCF number.
So the greatest common factor 2021,1389 is 1.
Lets's calculate LCM of 912,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 420432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420432
Therefore, the GCF of Fractions 2021/912,1389/461 is 1/420432
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 912,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,461) x common factors =1 x 1 = 1
LCM(912,461) = ( 912 × 461 ) / 1
LCM(912,461) = 420432 / 1
LCM(912,461) = 420432
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 2021/912, 1389/461?
Answer: GCF of Numerators as per given numbers 2021/912, 1389/461 is
GCF of Numerators i.e. for 2021,1389 is 1
LCM of denominators i.e. for 912,461 is 420432.
Thus, GCF of Fractions is 1/420432.Finally, GCF of Fractions for 2021/912, 1389/461 is 1/420432.