GCF of 4184/414, 9879/8559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4184/414, 9879/8559 i.e 1/393714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4184/414, 9879/8559.
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 4184/414,9879/8559?
Given fractions are 4184/414,9879/8559
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 4184/414,9879/8559, numerators are 4184,9879
Denominators are 414,8559
The GCF of 4184,9879 is 1 .
LCM of 414,8559 is 393714.
The greatest common factor of 4184/414,9879/8559 = [GCF of 4184,9879]/[LCM of 414,8559]= 1/393714
Therefore, the GCF of 4184/414,9879/8559 is 1/393714.
To find the highest common factor of 4184,9879, we have to find the factors of both numbers and list the highest common factor.
The factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184
The factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879
The HCF of 4184,9879 is 1.
Lets's calculate GCF of 4184,9879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4184,9879 By Matching Biggest Common Factor Method
Now, list down the factors of 4184
:1,2,4,8,523,1046,2092,4184
Now, list down the factors of 9879
:1,3,37,89,111,267,3293,9879
Greatest Common Factor
We found the factors 4184,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 4184,9879 is 1.
Lets's calculate LCM of 414,8559
| 3 | 414, 8559 |
| 3 | 138, 2853 |
| 46, 951 |
∴ So the LCM of the given numbers is 3 x 3 x 46 x 951 = 393714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393714
Therefore, the GCF of Fractions 4184/414,9879/8559 is 1/393714
Least Common Multiple of 414,8559 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 414,8559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,8559) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(414,8559) x common factors =9 x 1 = 9
LCM(414,8559) = ( 414 × 8559 ) / 9
LCM(414,8559) = 3543426 / 9
LCM(414,8559) = 393714
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FAQs on GCF of Fractions of 4184/414, 9879/8559
1. What is the HCF of 4184,9879?
The HCF of 4184,9879 is 1
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 4184/414, 9879/8559?
Answer: GCF of Numerators as per given numbers 4184/414, 9879/8559 is
GCF of Numerators i.e. for 4184,9879 is 1
LCM of denominators i.e. for 414,8559 is 393714.
Thus, GCF of Fractions is 1/393714.Finally, GCF of Fractions for 4184/414, 9879/8559 is 1/393714.