Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6291/134,2048/1858
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 6291,2048
Greatest Common Factor of Numerators i.e. GCF of 6291,2048 is 1 .
LCM of Denominators means LCM of 134,1858 as per the given fractions.
LCM of 134,1858 is 124486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6291,2048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6291
List of positive integer factors of 6291 that divides 6291 without a remainder.
1,3,9,27,233,699,2097,6291
Factors of 2048
List of positive integer factors of 2048 that divides 2048 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048
Greatest Common Factor
We found the factors 6291,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,2048 is 1.
Lets's calculate LCM of 134,1858
2 | 134, 1858 |
67, 929 |
∴ So the LCM of the given numbers is 2 x 67 x 929 = 124486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124486
Therefore, the GCF of Fractions 6291/134,2048/1858 is 1/124486
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 134,1858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,1858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,1858) x common factors =2 x 1 = 2
LCM(134,1858) = ( 134 × 1858 ) / 2
LCM(134,1858) = 248972 / 2
LCM(134,1858) = 124486
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 6291/134, 2048/1858?
Answer: GCF of Numerators as per given numbers 6291/134, 2048/1858 is
GCF of Numerators i.e. for 6291,2048 is 1
LCM of denominators i.e. for 134,1858 is 124486.
Thus, GCF of Fractions is 1/124486.Finally, GCF of Fractions for 6291/134, 2048/1858 is 1/124486.