Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/731,1407/358
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 579,1407
Greatest Common Factor of Numerators i.e. GCF of 579,1407 is 3 .
LCM of Denominators means LCM of 731,358 as per the given fractions.
LCM of 731,358 is 261698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 579,1407
3 | 579, 1407 |
193, 469 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 1407
List of positive integer factors of 1407 that divides 1407 without a remainder.
1,3,7,21,67,201,469,1407
Greatest Common Factor
We found the factors 579,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 579,1407 is 3.
Lets's calculate LCM of 731,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 261698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/261698
Therefore, the GCF of Fractions 579/731,1407/358 is 3/261698
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 731,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,358) x common factors =1 x 1 = 1
LCM(731,358) = ( 731 × 358 ) / 1
LCM(731,358) = 261698 / 1
LCM(731,358) = 261698
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 579/731, 1407/358?
Answer: GCF of Numerators as per given numbers 579/731, 1407/358 is
GCF of Numerators i.e. for 579,1407 is 3
LCM of denominators i.e. for 731,358 is 261698.
Thus, GCF of Fractions is 3/261698.Finally, GCF of Fractions for 579/731, 1407/358 is 3/261698.