Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/51,360/53,389/742
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 797,360,389
Greatest Common Factor of Numerators i.e. GCF of 797,360,389 is 1 .
LCM of Denominators means LCM of 51,53,742 as per the given fractions.
LCM of 51,53,742 is 37842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 797,360,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 797,360,389 . The biggest common factor number is the GCF number.
So the greatest common factor 797,360,389 is 1.
Lets's calculate LCM of 51,53,742
53 | 51, 53, 742 |
51, 1, 14 |
∴ So the LCM of the given numbers is 53 x 51 x 1 x 14 = 37842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37842
Therefore, the GCF of Fractions 797/51,360/53,389/742 is 1/37842
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 51,53,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,53,742) = 1
common factors(in case of two or more numbers have common factors) = 53
GCF(51,53,742) x common factors =1 x 53 = 53
LCM(51,53,742) = ( 51 × 53 × 742 ) / 53
LCM(51,53,742) = 2005626 / 53
LCM(51,53,742) = 37842
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 797/51, 360/53, 389/742?
Answer: GCF of Numerators as per given numbers 797/51, 360/53, 389/742 is
GCF of Numerators i.e. for 797,360,389 is 1
LCM of denominators i.e. for 51,53,742 is 37842.
Thus, GCF of Fractions is 1/37842.Finally, GCF of Fractions for 797/51, 360/53, 389/742 is 1/37842.