Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 408/11,725/67,823/795
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 408,725,823
Greatest Common Factor of Numerators i.e. GCF of 408,725,823 is 1 .
LCM of Denominators means LCM of 11,67,795 as per the given fractions.
LCM of 11,67,795 is 585915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 408,725,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 408,725,823 . The biggest common factor number is the GCF number.
So the greatest common factor 408,725,823 is 1.
Lets's calculate LCM of 11,67,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 585915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585915
Therefore, the GCF of Fractions 408/11,725/67,823/795 is 1/585915
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 11,67,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,67,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,67,795) x common factors =1 x 1 = 1
LCM(11,67,795) = ( 11 × 67 × 795 ) / 1
LCM(11,67,795) = 585915 / 1
LCM(11,67,795) = 585915
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 408/11, 725/67, 823/795?
Answer: GCF of Numerators as per given numbers 408/11, 725/67, 823/795 is
GCF of Numerators i.e. for 408,725,823 is 1
LCM of denominators i.e. for 11,67,795 is 585915.
Thus, GCF of Fractions is 1/585915.Finally, GCF of Fractions for 408/11, 725/67, 823/795 is 1/585915.