GCF of 4095/825, 5421/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4095/825, 5421/187 i.e 39/14025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4095/825, 5421/187.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4095/825,5421/187?
Given fractions are 4095/825,5421/187
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 4095/825,5421/187, numerators are 4095,5421
Denominators are 825,187
The GCF of 4095,5421 is 39 .
LCM of 825,187 is 14025.
The greatest common factor of 4095/825,5421/187 = [GCF of 4095,5421]/[LCM of 825,187]= 39/14025
Therefore, the GCF of 4095/825,5421/187 is 39/14025.
To find the highest common factor of 4095,5421, we have to find the factors of both numbers and list the highest common factor.
The factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095
The factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421
The HCF of 4095,5421 is 39.
Lets's calculate GCF of 4095,5421
| 3 | 4095, 5421 |
| 13 | 1365, 1807 |
| 105, 139 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 4095,5421 By Matching Biggest Common Factor Method
Now, list down the factors of 4095
:1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095
Now, list down the factors of 5421
:1,3,13,39,139,417,1807,5421
Greatest Common Factor
We found the factors 4095,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 4095,5421 is 39.
Lets's calculate LCM of 825,187
| 11 | 825, 187 |
| 75, 17 |
∴ So the LCM of the given numbers is 11 x 75 x 17 = 14025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/14025
Therefore, the GCF of Fractions 4095/825,5421/187 is 39/14025
Least Common Multiple of 825,187 with GCF Formula
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 825,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,187) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,187) x common factors =11 x 1 = 11
LCM(825,187) = ( 825 × 187 ) / 11
LCM(825,187) = 154275 / 11
LCM(825,187) = 14025
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FAQs on GCF of Fractions of 4095/825, 5421/187
1. What is the HCF of 4095,5421?
The HCF of 4095,5421 is 39
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 4095/825, 5421/187?
Answer: GCF of Numerators as per given numbers 4095/825, 5421/187 is
GCF of Numerators i.e. for 4095,5421 is 39
LCM of denominators i.e. for 825,187 is 14025.
Thus, GCF of Fractions is 39/14025.Finally, GCF of Fractions for 4095/825, 5421/187 is 39/14025.