GCF of 8668/419, 1932/1816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8668/419, 1932/1816 i.e 4/760904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8668/419, 1932/1816.
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 8668/419,1932/1816?
Given fractions are 8668/419,1932/1816
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 8668/419,1932/1816, numerators are 8668,1932
Denominators are 419,1816
The GCF of 8668,1932 is 4 .
LCM of 419,1816 is 760904.
The greatest common factor of 8668/419,1932/1816 = [GCF of 8668,1932]/[LCM of 419,1816]= 4/760904
Therefore, the GCF of 8668/419,1932/1816 is 4/760904.
To find the highest common factor of 8668,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 8668,1932 is 4.
Lets's calculate GCF of 8668,1932
| 2 | 8668, 1932 |
| 2 | 4334, 966 |
| 2167, 483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8668,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 8668,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 8668,1932 is 4.
Lets's calculate LCM of 419,1816
Given numbers has no common factors except 1. So, there LCM is their product i.e 760904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/760904
Therefore, the GCF of Fractions 8668/419,1932/1816 is 4/760904
Least Common Multiple of 419,1816 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 419,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,1816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,1816) x common factors =1 x 1 = 1
LCM(419,1816) = ( 419 × 1816 ) / 1
LCM(419,1816) = 760904 / 1
LCM(419,1816) = 760904
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FAQs on GCF of Fractions of 8668/419, 1932/1816
1. What is the HCF of 8668,1932?
The HCF of 8668,1932 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 8668/419, 1932/1816?
Answer: GCF of Numerators as per given numbers 8668/419, 1932/1816 is
GCF of Numerators i.e. for 8668,1932 is 4
LCM of denominators i.e. for 419,1816 is 760904.
Thus, GCF of Fractions is 4/760904.Finally, GCF of Fractions for 8668/419, 1932/1816 is 4/760904.