Use our free GCF of Fractions Calculator tool to compute the GCF of 1325/924, 7464/4819 i.e 1/4452756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1325/924, 7464/4819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1325/924,7464/4819
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 1325/924,7464/4819, numerators are 1325,7464
Denominators are 924,4819
The GCF of 1325,7464 is 1 .
LCM of 924,4819 is 4452756.
The greatest common factor of 1325/924,7464/4819 = [GCF of 1325,7464]/[LCM of 924,4819]= 1/4452756
Therefore, the GCF of 1325/924,7464/4819 is 1/4452756.
To find the highest common factor of 1325,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 1325,7464 is 1.
Lets's calculate GCF of 1325,7464
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1325
:1,5,25,53,265,1325
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 1325,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 1325,7464 is 1.
Lets's calculate LCM of 924,4819
Given numbers has no common factors except 1. So, there LCM is their product i.e 4452756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4452756
Therefore, the GCF of Fractions 1325/924,7464/4819 is 1/4452756
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 924,4819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,4819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,4819) x common factors =1 x 1 = 1
LCM(924,4819) = ( 924 × 4819 ) / 1
LCM(924,4819) = 4452756 / 1
LCM(924,4819) = 4452756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1325,7464?
The HCF of 1325,7464 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 1325/924, 7464/4819?
Answer: GCF of Numerators as per given numbers 1325/924, 7464/4819 is
GCF of Numerators i.e. for 1325,7464 is 1
LCM of denominators i.e. for 924,4819 is 4452756.
Thus, GCF of Fractions is 1/4452756.Finally, GCF of Fractions for 1325/924, 7464/4819 is 1/4452756.