Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/82,621/58,687/407
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 263,621,687
Greatest Common Factor of Numerators i.e. GCF of 263,621,687 is 1 .
LCM of Denominators means LCM of 82,58,407 as per the given fractions.
LCM of 82,58,407 is 967846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 263,621,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 263,621,687 . The biggest common factor number is the GCF number.
So the greatest common factor 263,621,687 is 1.
Lets's calculate LCM of 82,58,407
2 | 82, 58, 407 |
41, 29, 407 |
∴ So the LCM of the given numbers is 2 x 41 x 29 x 407 = 967846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967846
Therefore, the GCF of Fractions 263/82,621/58,687/407 is 1/967846
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 82,58,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,58,407) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,58,407) x common factors =1 x 2 = 2
LCM(82,58,407) = ( 82 × 58 × 407 ) / 2
LCM(82,58,407) = 1935692 / 2
LCM(82,58,407) = 967846
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 263/82, 621/58, 687/407?
Answer: GCF of Numerators as per given numbers 263/82, 621/58, 687/407 is
GCF of Numerators i.e. for 263,621,687 is 1
LCM of denominators i.e. for 82,58,407 is 967846.
Thus, GCF of Fractions is 1/967846.Finally, GCF of Fractions for 263/82, 621/58, 687/407 is 1/967846.