Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 408/590,753/712,631/999
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 408,753,631
Greatest Common Factor of Numerators i.e. GCF of 408,753,631 is 1 .
LCM of Denominators means LCM of 590,712,999 as per the given fractions.
LCM of 590,712,999 is 209829960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 408,753,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 408,753,631 . The biggest common factor number is the GCF number.
So the greatest common factor 408,753,631 is 1.
Lets's calculate LCM of 590,712,999
2 | 590, 712, 999 |
295, 356, 999 |
∴ So the LCM of the given numbers is 2 x 295 x 356 x 999 = 209829960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209829960
Therefore, the GCF of Fractions 408/590,753/712,631/999 is 1/209829960
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 590,712,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,712,999) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(590,712,999) x common factors =1 x 2 = 2
LCM(590,712,999) = ( 590 × 712 × 999 ) / 2
LCM(590,712,999) = 419659920 / 2
LCM(590,712,999) = 209829960
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 408/590, 753/712, 631/999?
Answer: GCF of Numerators as per given numbers 408/590, 753/712, 631/999 is
GCF of Numerators i.e. for 408,753,631 is 1
LCM of denominators i.e. for 590,712,999 is 209829960.
Thus, GCF of Fractions is 1/209829960.Finally, GCF of Fractions for 408/590, 753/712, 631/999 is 1/209829960.