Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 431/638,589/679,668/741
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 431,589,668
Greatest Common Factor of Numerators i.e. GCF of 431,589,668 is 1 .
LCM of Denominators means LCM of 638,679,741 as per the given fractions.
LCM of 638,679,741 is 321002682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 431,589,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 431,589,668 . The biggest common factor number is the GCF number.
So the greatest common factor 431,589,668 is 1.
Lets's calculate LCM of 638,679,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 321002682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321002682
Therefore, the GCF of Fractions 431/638,589/679,668/741 is 1/321002682
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 638,679,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,679,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,679,741) x common factors =1 x 1 = 1
LCM(638,679,741) = ( 638 × 679 × 741 ) / 1
LCM(638,679,741) = 321002682 / 1
LCM(638,679,741) = 321002682
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 431/638, 589/679, 668/741?
Answer: GCF of Numerators as per given numbers 431/638, 589/679, 668/741 is
GCF of Numerators i.e. for 431,589,668 is 1
LCM of denominators i.e. for 638,679,741 is 321002682.
Thus, GCF of Fractions is 1/321002682.Finally, GCF of Fractions for 431/638, 589/679, 668/741 is 1/321002682.