GCF of 8685/684, 3162/2008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8685/684, 3162/2008 i.e 3/343368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8685/684, 3162/2008.
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 8685/684,3162/2008?
Given fractions are 8685/684,3162/2008
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 8685/684,3162/2008, numerators are 8685,3162
Denominators are 684,2008
The GCF of 8685,3162 is 3 .
LCM of 684,2008 is 343368.
The greatest common factor of 8685/684,3162/2008 = [GCF of 8685,3162]/[LCM of 684,2008]= 3/343368
Therefore, the GCF of 8685/684,3162/2008 is 3/343368.
To find the highest common factor of 8685,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 8685,3162 is 3.
Lets's calculate GCF of 8685,3162
| 3 | 8685, 3162 |
| 2895, 1054 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8685,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 8685
:1,3,5,9,15,45,193,579,965,1737,2895,8685
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 8685,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 8685,3162 is 3.
Lets's calculate LCM of 684,2008
| 2 | 684, 2008 |
| 2 | 342, 1004 |
| 171, 502 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 502 = 343368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/343368
Therefore, the GCF of Fractions 8685/684,3162/2008 is 3/343368
Least Common Multiple of 684,2008 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 684,2008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,2008) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,2008) x common factors =4 x 1 = 4
LCM(684,2008) = ( 684 × 2008 ) / 4
LCM(684,2008) = 1373472 / 4
LCM(684,2008) = 343368
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FAQs on GCF of Fractions of 8685/684, 3162/2008
1. What is the HCF of 8685,3162?
The HCF of 8685,3162 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 8685/684, 3162/2008?
Answer: GCF of Numerators as per given numbers 8685/684, 3162/2008 is
GCF of Numerators i.e. for 8685,3162 is 3
LCM of denominators i.e. for 684,2008 is 343368.
Thus, GCF of Fractions is 3/343368.Finally, GCF of Fractions for 8685/684, 3162/2008 is 3/343368.