GCF of 8682/685, 3213/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8682/685, 3213/585 i.e 3/80145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8682/685, 3213/585.
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 8682/685,3213/585?
Given fractions are 8682/685,3213/585
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 8682/685,3213/585, numerators are 8682,3213
Denominators are 685,585
The GCF of 8682,3213 is 3 .
LCM of 685,585 is 80145.
The greatest common factor of 8682/685,3213/585 = [GCF of 8682,3213]/[LCM of 685,585]= 3/80145
Therefore, the GCF of 8682/685,3213/585 is 3/80145.
To find the highest common factor of 8682,3213, 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 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 8682,3213 is 3.
Lets's calculate GCF of 8682,3213
| 3 | 8682, 3213 |
| 2894, 1071 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8682,3213 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 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 8682,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 8682,3213 is 3.
Lets's calculate LCM of 685,585
| 5 | 685, 585 |
| 137, 117 |
∴ So the LCM of the given numbers is 5 x 137 x 117 = 80145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80145
Therefore, the GCF of Fractions 8682/685,3213/585 is 3/80145
Least Common Multiple of 685,585 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 685,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,585) x common factors =5 x 1 = 5
LCM(685,585) = ( 685 × 585 ) / 5
LCM(685,585) = 400725 / 5
LCM(685,585) = 80145
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FAQs on GCF of Fractions of 8682/685, 3213/585
1. What is the HCF of 8682,3213?
The HCF of 8682,3213 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 8682/685, 3213/585?
Answer: GCF of Numerators as per given numbers 8682/685, 3213/585 is
GCF of Numerators i.e. for 8682,3213 is 3
LCM of denominators i.e. for 685,585 is 80145.
Thus, GCF of Fractions is 3/80145.Finally, GCF of Fractions for 8682/685, 3213/585 is 3/80145.