Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/734,445/867
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 315,445
Greatest Common Factor of Numerators i.e. GCF of 315,445 is 5 .
LCM of Denominators means LCM of 734,867 as per the given fractions.
LCM of 734,867 is 636378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,445
5 | 315, 445 |
63, 89 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 315,445 . The biggest common factor number is the GCF number.
So the greatest common factor 315,445 is 5.
Lets's calculate LCM of 734,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 636378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/636378
Therefore, the GCF of Fractions 315/734,445/867 is 5/636378
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 734,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,867) x common factors =1 x 1 = 1
LCM(734,867) = ( 734 × 867 ) / 1
LCM(734,867) = 636378 / 1
LCM(734,867) = 636378
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 315/734, 445/867?
Answer: GCF of Numerators as per given numbers 315/734, 445/867 is
GCF of Numerators i.e. for 315,445 is 5
LCM of denominators i.e. for 734,867 is 636378.
Thus, GCF of Fractions is 5/636378.Finally, GCF of Fractions for 315/734, 445/867 is 5/636378.