Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3911/50,1840/536
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 3911,1840
Greatest Common Factor of Numerators i.e. GCF of 3911,1840 is 1 .
LCM of Denominators means LCM of 50,536 as per the given fractions.
LCM of 50,536 is 13400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3911,1840
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3911
List of positive integer factors of 3911 that divides 3911 without a remainder.
1,3911
Factors of 1840
List of positive integer factors of 1840 that divides 1840 without a remainder.
1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 3911,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 3911,1840 is 1.
Lets's calculate LCM of 50,536
2 | 50, 536 |
25, 268 |
∴ So the LCM of the given numbers is 2 x 25 x 268 = 13400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13400
Therefore, the GCF of Fractions 3911/50,1840/536 is 1/13400
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 50,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,536) x common factors =2 x 1 = 2
LCM(50,536) = ( 50 × 536 ) / 2
LCM(50,536) = 26800 / 2
LCM(50,536) = 13400
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 3911/50, 1840/536?
Answer: GCF of Numerators as per given numbers 3911/50, 1840/536 is
GCF of Numerators i.e. for 3911,1840 is 1
LCM of denominators i.e. for 50,536 is 13400.
Thus, GCF of Fractions is 1/13400.Finally, GCF of Fractions for 3911/50, 1840/536 is 1/13400.