GCF of 9684/211, 8984/3169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9684/211, 8984/3169 i.e 4/668659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9684/211, 8984/3169.
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 9684/211,8984/3169?
Given fractions are 9684/211,8984/3169
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 9684/211,8984/3169, numerators are 9684,8984
Denominators are 211,3169
The GCF of 9684,8984 is 4 .
LCM of 211,3169 is 668659.
The greatest common factor of 9684/211,8984/3169 = [GCF of 9684,8984]/[LCM of 211,3169]= 4/668659
Therefore, the GCF of 9684/211,8984/3169 is 4/668659.
To find the highest common factor of 9684,8984, we have to find the factors of both numbers and list the highest common factor.
The factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684
The factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984
The HCF of 9684,8984 is 4.
Lets's calculate GCF of 9684,8984
| 2 | 9684, 8984 |
| 2 | 4842, 4492 |
| 2421, 2246 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9684,8984 By Matching Biggest Common Factor Method
Now, list down the factors of 9684
:1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684
Now, list down the factors of 8984
:1,2,4,8,1123,2246,4492,8984
Greatest Common Factor
We found the factors 9684,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 9684,8984 is 4.
Lets's calculate LCM of 211,3169
Given numbers has no common factors except 1. So, there LCM is their product i.e 668659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/668659
Therefore, the GCF of Fractions 9684/211,8984/3169 is 4/668659
Least Common Multiple of 211,3169 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 211,3169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,3169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,3169) x common factors =1 x 1 = 1
LCM(211,3169) = ( 211 × 3169 ) / 1
LCM(211,3169) = 668659 / 1
LCM(211,3169) = 668659
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FAQs on GCF of Fractions of 9684/211, 8984/3169
1. What is the HCF of 9684,8984?
The HCF of 9684,8984 is 4
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 9684/211, 8984/3169?
Answer: GCF of Numerators as per given numbers 9684/211, 8984/3169 is
GCF of Numerators i.e. for 9684,8984 is 4
LCM of denominators i.e. for 211,3169 is 668659.
Thus, GCF of Fractions is 4/668659.Finally, GCF of Fractions for 9684/211, 8984/3169 is 4/668659.