GCF of 8190/186, 3325/9292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8190/186, 3325/9292 i.e 35/864156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8190/186, 3325/9292.
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 8190/186,3325/9292?
Given fractions are 8190/186,3325/9292
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 8190/186,3325/9292, numerators are 8190,3325
Denominators are 186,9292
The GCF of 8190,3325 is 35 .
LCM of 186,9292 is 864156.
The greatest common factor of 8190/186,3325/9292 = [GCF of 8190,3325]/[LCM of 186,9292]= 35/864156
Therefore, the GCF of 8190/186,3325/9292 is 35/864156.
To find the highest common factor of 8190,3325, we have to find the factors of both numbers and list the highest common factor.
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
The HCF of 8190,3325 is 35.
Lets's calculate GCF of 8190,3325
| 5 | 8190, 3325 |
| 7 | 1638, 665 |
| 234, 95 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 8190,3325 By Matching Biggest Common Factor Method
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Now, list down the factors of 3325
:1,5,7,19,25,35,95,133,175,475,665,3325
Greatest Common Factor
We found the factors 8190,3325 . The biggest common factor number is the GCF number.
So the greatest common factor 8190,3325 is 35.
Lets's calculate LCM of 186,9292
| 2 | 186, 9292 |
| 93, 4646 |
∴ So the LCM of the given numbers is 2 x 93 x 4646 = 864156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/864156
Therefore, the GCF of Fractions 8190/186,3325/9292 is 35/864156
Least Common Multiple of 186,9292 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 186,9292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,9292) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,9292) x common factors =2 x 1 = 2
LCM(186,9292) = ( 186 × 9292 ) / 2
LCM(186,9292) = 1728312 / 2
LCM(186,9292) = 864156
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8190/186, 3325/9292
1. What is the HCF of 8190,3325?
The HCF of 8190,3325 is 35
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 8190/186, 3325/9292?
Answer: GCF of Numerators as per given numbers 8190/186, 3325/9292 is
GCF of Numerators i.e. for 8190,3325 is 35
LCM of denominators i.e. for 186,9292 is 864156.
Thus, GCF of Fractions is 35/864156.Finally, GCF of Fractions for 8190/186, 3325/9292 is 35/864156.