Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1434/281,9013/1621
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 1434,9013
Greatest Common Factor of Numerators i.e. GCF of 1434,9013 is 1 .
LCM of Denominators means LCM of 281,1621 as per the given fractions.
LCM of 281,1621 is 455501 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1434,9013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1434
List of positive integer factors of 1434 that divides 1434 without a remainder.
1,2,3,6,239,478,717,1434
Factors of 9013
List of positive integer factors of 9013 that divides 9013 without a remainder.
1,9013
Greatest Common Factor
We found the factors 1434,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 1434,9013 is 1.
Lets's calculate LCM of 281,1621
Given numbers has no common factors except 1. So, there LCM is their product i.e 455501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455501
Therefore, the GCF of Fractions 1434/281,9013/1621 is 1/455501
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 281,1621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,1621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,1621) x common factors =1 x 1 = 1
LCM(281,1621) = ( 281 × 1621 ) / 1
LCM(281,1621) = 455501 / 1
LCM(281,1621) = 455501
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 1434/281, 9013/1621?
Answer: GCF of Numerators as per given numbers 1434/281, 9013/1621 is
GCF of Numerators i.e. for 1434,9013 is 1
LCM of denominators i.e. for 281,1621 is 455501.
Thus, GCF of Fractions is 1/455501.Finally, GCF of Fractions for 1434/281, 9013/1621 is 1/455501.