GCF of 8682/810, 1053/4000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8682/810, 1053/4000 i.e 3/324000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8682/810, 1053/4000.
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 8682/810,1053/4000?
Given fractions are 8682/810,1053/4000
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 8682/810,1053/4000, numerators are 8682,1053
Denominators are 810,4000
The GCF of 8682,1053 is 3 .
LCM of 810,4000 is 324000.
The greatest common factor of 8682/810,1053/4000 = [GCF of 8682,1053]/[LCM of 810,4000]= 3/324000
Therefore, the GCF of 8682/810,1053/4000 is 3/324000.
To find the highest common factor of 8682,1053, we have to find the factors of both numbers and list the highest common factor.
The factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682
The factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053
The HCF of 8682,1053 is 3.
Lets's calculate GCF of 8682,1053
| 3 | 8682, 1053 |
| 2894, 351 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8682,1053 By Matching Biggest Common Factor Method
Now, list down the factors of 8682
:1,2,3,6,1447,2894,4341,8682
Now, list down the factors of 1053
:1,3,9,13,27,39,81,117,351,1053
Greatest Common Factor
We found the factors 8682,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 8682,1053 is 3.
Lets's calculate LCM of 810,4000
| 2 | 810, 4000 |
| 5 | 405, 2000 |
| 81, 400 |
∴ So the LCM of the given numbers is 2 x 5 x 81 x 400 = 324000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/324000
Therefore, the GCF of Fractions 8682/810,1053/4000 is 3/324000
Least Common Multiple of 810,4000 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 810,4000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,4000) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(810,4000) x common factors =10 x 1 = 10
LCM(810,4000) = ( 810 × 4000 ) / 10
LCM(810,4000) = 3240000 / 10
LCM(810,4000) = 324000
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FAQs on GCF of Fractions of 8682/810, 1053/4000
1. What is the HCF of 8682,1053?
The HCF of 8682,1053 is 3
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 8682/810, 1053/4000?
Answer: GCF of Numerators as per given numbers 8682/810, 1053/4000 is
GCF of Numerators i.e. for 8682,1053 is 3
LCM of denominators i.e. for 810,4000 is 324000.
Thus, GCF of Fractions is 3/324000.Finally, GCF of Fractions for 8682/810, 1053/4000 is 3/324000.