GCF of 4095/604, 5250/8084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4095/604, 5250/8084 i.e 105/1220684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4095/604, 5250/8084.
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 4095/604,5250/8084?
Given fractions are 4095/604,5250/8084
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 4095/604,5250/8084, numerators are 4095,5250
Denominators are 604,8084
The GCF of 4095,5250 is 105 .
LCM of 604,8084 is 1220684.
The greatest common factor of 4095/604,5250/8084 = [GCF of 4095,5250]/[LCM of 604,8084]= 105/1220684
Therefore, the GCF of 4095/604,5250/8084 is 105/1220684.
To find the highest common factor of 4095,5250, 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 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The HCF of 4095,5250 is 105.
Lets's calculate GCF of 4095,5250
| 3 | 4095, 5250 |
| 5 | 1365, 1750 |
| 7 | 273, 350 |
| 39, 50 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Greatest Common Factor of 4095,5250 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 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Greatest Common Factor
We found the factors 4095,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 4095,5250 is 105.
Lets's calculate LCM of 604,8084
| 2 | 604, 8084 |
| 2 | 302, 4042 |
| 151, 2021 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 2021 = 1220684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/1220684
Therefore, the GCF of Fractions 4095/604,5250/8084 is 105/1220684
Least Common Multiple of 604,8084 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 604,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,8084) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,8084) x common factors =4 x 1 = 4
LCM(604,8084) = ( 604 × 8084 ) / 4
LCM(604,8084) = 4882736 / 4
LCM(604,8084) = 1220684
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4095/604, 5250/8084
1. What is the HCF of 4095,5250?
The HCF of 4095,5250 is 105
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 4095/604, 5250/8084?
Answer: GCF of Numerators as per given numbers 4095/604, 5250/8084 is
GCF of Numerators i.e. for 4095,5250 is 105
LCM of denominators i.e. for 604,8084 is 1220684.
Thus, GCF of Fractions is 105/1220684.Finally, GCF of Fractions for 4095/604, 5250/8084 is 105/1220684.