Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/506,172/823,953/365
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 581,172,953
Greatest Common Factor of Numerators i.e. GCF of 581,172,953 is 1 .
LCM of Denominators means LCM of 506,823,365 as per the given fractions.
LCM of 506,823,365 is 151999870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 581,172,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 581,172,953 . The biggest common factor number is the GCF number.
So the greatest common factor 581,172,953 is 1.
Lets's calculate LCM of 506,823,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 151999870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151999870
Therefore, the GCF of Fractions 581/506,172/823,953/365 is 1/151999870
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 506,823,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,823,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,823,365) x common factors =1 x 1 = 1
LCM(506,823,365) = ( 506 × 823 × 365 ) / 1
LCM(506,823,365) = 151999870 / 1
LCM(506,823,365) = 151999870
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 581/506, 172/823, 953/365?
Answer: GCF of Numerators as per given numbers 581/506, 172/823, 953/365 is
GCF of Numerators i.e. for 581,172,953 is 1
LCM of denominators i.e. for 506,823,365 is 151999870.
Thus, GCF of Fractions is 1/151999870.Finally, GCF of Fractions for 581/506, 172/823, 953/365 is 1/151999870.