GCF of 8211/928, 3196/9985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8211/928, 3196/9985 i.e 17/9266080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8211/928, 3196/9985.
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 8211/928,3196/9985?
Given fractions are 8211/928,3196/9985
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 8211/928,3196/9985, numerators are 8211,3196
Denominators are 928,9985
The GCF of 8211,3196 is 17 .
LCM of 928,9985 is 9266080.
The greatest common factor of 8211/928,3196/9985 = [GCF of 8211,3196]/[LCM of 928,9985]= 17/9266080
Therefore, the GCF of 8211/928,3196/9985 is 17/9266080.
To find the highest common factor of 8211,3196, we have to find the factors of both numbers and list the highest common factor.
The factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211
The factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196
The HCF of 8211,3196 is 17.
Lets's calculate GCF of 8211,3196
| 17 | 8211, 3196 |
| 483, 188 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8211,3196 By Matching Biggest Common Factor Method
Now, list down the factors of 8211
:1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Now, list down the factors of 3196
:1,2,4,17,34,47,68,94,188,799,1598,3196
Greatest Common Factor
We found the factors 8211,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 8211,3196 is 17.
Lets's calculate LCM of 928,9985
Given numbers has no common factors except 1. So, there LCM is their product i.e 9266080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/9266080
Therefore, the GCF of Fractions 8211/928,3196/9985 is 17/9266080
Least Common Multiple of 928,9985 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 928,9985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,9985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,9985) x common factors =1 x 1 = 1
LCM(928,9985) = ( 928 × 9985 ) / 1
LCM(928,9985) = 9266080 / 1
LCM(928,9985) = 9266080
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FAQs on GCF of Fractions of 8211/928, 3196/9985
1. What is the HCF of 8211,3196?
The HCF of 8211,3196 is 17
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 8211/928, 3196/9985?
Answer: GCF of Numerators as per given numbers 8211/928, 3196/9985 is
GCF of Numerators i.e. for 8211,3196 is 17
LCM of denominators i.e. for 928,9985 is 9266080.
Thus, GCF of Fractions is 17/9266080.Finally, GCF of Fractions for 8211/928, 3196/9985 is 17/9266080.