Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/142,9713/5782
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 874,9713
Greatest Common Factor of Numerators i.e. GCF of 874,9713 is 1 .
LCM of Denominators means LCM of 142,5782 as per the given fractions.
LCM of 142,5782 is 410522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,9713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 9713
List of positive integer factors of 9713 that divides 9713 without a remainder.
1,11,883,9713
Greatest Common Factor
We found the factors 874,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 874,9713 is 1.
Lets's calculate LCM of 142,5782
2 | 142, 5782 |
71, 2891 |
∴ So the LCM of the given numbers is 2 x 71 x 2891 = 410522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410522
Therefore, the GCF of Fractions 874/142,9713/5782 is 1/410522
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 142,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,5782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,5782) x common factors =2 x 1 = 2
LCM(142,5782) = ( 142 × 5782 ) / 2
LCM(142,5782) = 821044 / 2
LCM(142,5782) = 410522
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 874/142, 9713/5782?
Answer: GCF of Numerators as per given numbers 874/142, 9713/5782 is
GCF of Numerators i.e. for 874,9713 is 1
LCM of denominators i.e. for 142,5782 is 410522.
Thus, GCF of Fractions is 1/410522.Finally, GCF of Fractions for 874/142, 9713/5782 is 1/410522.