Use our free GCF of Fractions Calculator tool to compute the GCF of 315/745, 821/916 i.e 1/682420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/745, 821/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/745,821/916
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 315/745,821/916, numerators are 315,821
Denominators are 745,916
The GCF of 315,821 is 1 .
LCM of 745,916 is 682420.
The greatest common factor of 315/745,821/916 = [GCF of 315,821]/[LCM of 745,916]= 1/682420
Therefore, the GCF of 315/745,821/916 is 1/682420.
To find the highest common factor of 315,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 821 are 1, 821
The HCF of 315,821 is 1.
Lets's calculate GCF of 315,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 315,821 . The biggest common factor number is the GCF number.
So the greatest common factor 315,821 is 1.
Lets's calculate LCM of 745,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 682420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682420
Therefore, the GCF of Fractions 315/745,821/916 is 1/682420
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 745,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,916) x common factors =1 x 1 = 1
LCM(745,916) = ( 745 × 916 ) / 1
LCM(745,916) = 682420 / 1
LCM(745,916) = 682420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 315,821?
The HCF of 315,821 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 315/745, 821/916?
Answer: GCF of Numerators as per given numbers 315/745, 821/916 is
GCF of Numerators i.e. for 315,821 is 1
LCM of denominators i.e. for 745,916 is 682420.
Thus, GCF of Fractions is 1/682420.Finally, GCF of Fractions for 315/745, 821/916 is 1/682420.