Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/17,265/50,723/740
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 839,265,723
Greatest Common Factor of Numerators i.e. GCF of 839,265,723 is 1 .
LCM of Denominators means LCM of 17,50,740 as per the given fractions.
LCM of 17,50,740 is 62900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,265,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 839,265,723 . The biggest common factor number is the GCF number.
So the greatest common factor 839,265,723 is 1.
Lets's calculate LCM of 17,50,740
2 | 17, 50, 740 |
5 | 17, 25, 370 |
17, 5, 74 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 5 x 74 = 62900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62900
Therefore, the GCF of Fractions 839/17,265/50,723/740 is 1/62900
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 17,50,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,50,740) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(17,50,740) x common factors =1 x 10 = 10
LCM(17,50,740) = ( 17 × 50 × 740 ) / 10
LCM(17,50,740) = 629000 / 10
LCM(17,50,740) = 62900
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 839/17, 265/50, 723/740?
Answer: GCF of Numerators as per given numbers 839/17, 265/50, 723/740 is
GCF of Numerators i.e. for 839,265,723 is 1
LCM of denominators i.e. for 17,50,740 is 62900.
Thus, GCF of Fractions is 1/62900.Finally, GCF of Fractions for 839/17, 265/50, 723/740 is 1/62900.