Use our free GCF of Fractions Calculator tool to compute the GCF of 825/715, 521/429 i.e 1/2145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/715, 521/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/715,521/429
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 825/715,521/429, numerators are 825,521
Denominators are 715,429
The GCF of 825,521 is 1 .
LCM of 715,429 is 2145.
The greatest common factor of 825/715,521/429 = [GCF of 825,521]/[LCM of 715,429]= 1/2145
Therefore, the GCF of 825/715,521/429 is 1/2145.
To find the highest common factor of 825,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 521 are 1, 521
The HCF of 825,521 is 1.
Lets's calculate GCF of 825,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 825,521 . The biggest common factor number is the GCF number.
So the greatest common factor 825,521 is 1.
Lets's calculate LCM of 715,429
11 | 715, 429 |
13 | 65, 39 |
5, 3 |
∴ So the LCM of the given numbers is 11 x 13 x 5 x 3 = 2145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2145
Therefore, the GCF of Fractions 825/715,521/429 is 1/2145
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 715,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,429) = 143
common factors(in case of two or more numbers have common factors) = 1
GCF(715,429) x common factors =143 x 1 = 143
LCM(715,429) = ( 715 × 429 ) / 143
LCM(715,429) = 306735 / 143
LCM(715,429) = 2145
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 825,521?
The HCF of 825,521 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 825/715, 521/429?
Answer: GCF of Numerators as per given numbers 825/715, 521/429 is
GCF of Numerators i.e. for 825,521 is 1
LCM of denominators i.e. for 715,429 is 2145.
Thus, GCF of Fractions is 1/2145.Finally, GCF of Fractions for 825/715, 521/429 is 1/2145.