Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5783/874,4215/779
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 5783,4215
Greatest Common Factor of Numerators i.e. GCF of 5783,4215 is 1 .
LCM of Denominators means LCM of 874,779 as per the given fractions.
LCM of 874,779 is 35834 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5783,4215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5783
List of positive integer factors of 5783 that divides 5783 without a remainder.
1,5783
Factors of 4215
List of positive integer factors of 4215 that divides 4215 without a remainder.
1,3,5,15,281,843,1405,4215
Greatest Common Factor
We found the factors 5783,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,4215 is 1.
Lets's calculate LCM of 874,779
19 | 874, 779 |
46, 41 |
∴ So the LCM of the given numbers is 19 x 46 x 41 = 35834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35834
Therefore, the GCF of Fractions 5783/874,4215/779 is 1/35834
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 874,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,779) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(874,779) x common factors =19 x 1 = 19
LCM(874,779) = ( 874 × 779 ) / 19
LCM(874,779) = 680846 / 19
LCM(874,779) = 35834
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 5783/874, 4215/779?
Answer: GCF of Numerators as per given numbers 5783/874, 4215/779 is
GCF of Numerators i.e. for 5783,4215 is 1
LCM of denominators i.e. for 874,779 is 35834.
Thus, GCF of Fractions is 1/35834.Finally, GCF of Fractions for 5783/874, 4215/779 is 1/35834.