Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1783/31,9691/483
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 1783,9691
Greatest Common Factor of Numerators i.e. GCF of 1783,9691 is 1 .
LCM of Denominators means LCM of 31,483 as per the given fractions.
LCM of 31,483 is 14973 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1783,9691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1783
List of positive integer factors of 1783 that divides 1783 without a remainder.
1,1783
Factors of 9691
List of positive integer factors of 9691 that divides 9691 without a remainder.
1,11,881,9691
Greatest Common Factor
We found the factors 1783,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 1783,9691 is 1.
Lets's calculate LCM of 31,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 14973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14973
Therefore, the GCF of Fractions 1783/31,9691/483 is 1/14973
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 31,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,483) x common factors =1 x 1 = 1
LCM(31,483) = ( 31 × 483 ) / 1
LCM(31,483) = 14973 / 1
LCM(31,483) = 14973
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 1783/31, 9691/483?
Answer: GCF of Numerators as per given numbers 1783/31, 9691/483 is
GCF of Numerators i.e. for 1783,9691 is 1
LCM of denominators i.e. for 31,483 is 14973.
Thus, GCF of Fractions is 1/14973.Finally, GCF of Fractions for 1783/31, 9691/483 is 1/14973.