Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1462/706,9035/1521
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 1462,9035
Greatest Common Factor of Numerators i.e. GCF of 1462,9035 is 1 .
LCM of Denominators means LCM of 706,1521 as per the given fractions.
LCM of 706,1521 is 1073826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1462,9035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1462
List of positive integer factors of 1462 that divides 1462 without a remainder.
1,2,17,34,43,86,731,1462
Factors of 9035
List of positive integer factors of 9035 that divides 9035 without a remainder.
1,5,13,65,139,695,1807,9035
Greatest Common Factor
We found the factors 1462,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 1462,9035 is 1.
Lets's calculate LCM of 706,1521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1073826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1073826
Therefore, the GCF of Fractions 1462/706,9035/1521 is 1/1073826
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 706,1521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,1521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,1521) x common factors =1 x 1 = 1
LCM(706,1521) = ( 706 × 1521 ) / 1
LCM(706,1521) = 1073826 / 1
LCM(706,1521) = 1073826
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 1462/706, 9035/1521?
Answer: GCF of Numerators as per given numbers 1462/706, 9035/1521 is
GCF of Numerators i.e. for 1462,9035 is 1
LCM of denominators i.e. for 706,1521 is 1073826.
Thus, GCF of Fractions is 1/1073826.Finally, GCF of Fractions for 1462/706, 9035/1521 is 1/1073826.