Use our free GCF of Fractions Calculator tool to compute the GCF of 525/451, 373/396 i.e 1/16236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/451, 373/396.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/451,373/396
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 525/451,373/396, numerators are 525,373
Denominators are 451,396
The GCF of 525,373 is 1 .
LCM of 451,396 is 16236.
The greatest common factor of 525/451,373/396 = [GCF of 525,373]/[LCM of 451,396]= 1/16236
Therefore, the GCF of 525/451,373/396 is 1/16236.
To find the highest common factor of 525,373, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 373 are 1, 373
The HCF of 525,373 is 1.
Lets's calculate GCF of 525,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 373
:1,373
Greatest Common Factor
We found the factors 525,373 . The biggest common factor number is the GCF number.
So the greatest common factor 525,373 is 1.
Lets's calculate LCM of 451,396
11 | 451, 396 |
41, 36 |
∴ So the LCM of the given numbers is 11 x 41 x 36 = 16236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16236
Therefore, the GCF of Fractions 525/451,373/396 is 1/16236
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 451,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,396) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,396) x common factors =11 x 1 = 11
LCM(451,396) = ( 451 × 396 ) / 11
LCM(451,396) = 178596 / 11
LCM(451,396) = 16236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 525,373?
The HCF of 525,373 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 525/451, 373/396?
Answer: GCF of Numerators as per given numbers 525/451, 373/396 is
GCF of Numerators i.e. for 525,373 is 1
LCM of denominators i.e. for 451,396 is 16236.
Thus, GCF of Fractions is 1/16236.Finally, GCF of Fractions for 525/451, 373/396 is 1/16236.