GCF of 8439/808, 4176/9969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8439/808, 4176/9969 i.e 87/8054952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8439/808, 4176/9969.
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 8439/808,4176/9969?
Given fractions are 8439/808,4176/9969
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 8439/808,4176/9969, numerators are 8439,4176
Denominators are 808,9969
The GCF of 8439,4176 is 87 .
LCM of 808,9969 is 8054952.
The greatest common factor of 8439/808,4176/9969 = [GCF of 8439,4176]/[LCM of 808,9969]= 87/8054952
Therefore, the GCF of 8439/808,4176/9969 is 87/8054952.
To find the highest common factor of 8439,4176, we have to find the factors of both numbers and list the highest common factor.
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The HCF of 8439,4176 is 87.
Lets's calculate GCF of 8439,4176
| 3 | 8439, 4176 |
| 29 | 2813, 1392 |
| 97, 48 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 8439,4176 By Matching Biggest Common Factor Method
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Now, list down the factors of 4176
:1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Greatest Common Factor
We found the factors 8439,4176 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,4176 is 87.
Lets's calculate LCM of 808,9969
Given numbers has no common factors except 1. So, there LCM is their product i.e 8054952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/8054952
Therefore, the GCF of Fractions 8439/808,4176/9969 is 87/8054952
Least Common Multiple of 808,9969 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 808,9969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,9969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,9969) x common factors =1 x 1 = 1
LCM(808,9969) = ( 808 × 9969 ) / 1
LCM(808,9969) = 8054952 / 1
LCM(808,9969) = 8054952
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FAQs on GCF of Fractions of 8439/808, 4176/9969
1. What is the HCF of 8439,4176?
The HCF of 8439,4176 is 87
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 8439/808, 4176/9969?
Answer: GCF of Numerators as per given numbers 8439/808, 4176/9969 is
GCF of Numerators i.e. for 8439,4176 is 87
LCM of denominators i.e. for 808,9969 is 8054952.
Thus, GCF of Fractions is 87/8054952.Finally, GCF of Fractions for 8439/808, 4176/9969 is 87/8054952.