GCF of 1184/808, 8720/5870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1184/808, 8720/5870 i.e 16/2371480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1184/808, 8720/5870.
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 1184/808,8720/5870?
Given fractions are 1184/808,8720/5870
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 1184/808,8720/5870, numerators are 1184,8720
Denominators are 808,5870
The GCF of 1184,8720 is 16 .
LCM of 808,5870 is 2371480.
The greatest common factor of 1184/808,8720/5870 = [GCF of 1184,8720]/[LCM of 808,5870]= 16/2371480
Therefore, the GCF of 1184/808,8720/5870 is 16/2371480.
To find the highest common factor of 1184,8720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The HCF of 1184,8720 is 16.
Lets's calculate GCF of 1184,8720
| 2 | 1184, 8720 |
| 2 | 592, 4360 |
| 2 | 296, 2180 |
| 2 | 148, 1090 |
| 74, 545 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1184,8720 By Matching Biggest Common Factor Method
Now, list down the factors of 1184
:1,2,4,8,16,32,37,74,148,296,592,1184
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Greatest Common Factor
We found the factors 1184,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 1184,8720 is 16.
Lets's calculate LCM of 808,5870
| 2 | 808, 5870 |
| 404, 2935 |
∴ So the LCM of the given numbers is 2 x 404 x 2935 = 2371480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2371480
Therefore, the GCF of Fractions 1184/808,8720/5870 is 16/2371480
Least Common Multiple of 808,5870 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 808,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,5870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,5870) x common factors =2 x 1 = 2
LCM(808,5870) = ( 808 × 5870 ) / 2
LCM(808,5870) = 4742960 / 2
LCM(808,5870) = 2371480
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FAQs on GCF of Fractions of 1184/808, 8720/5870
1. What is the HCF of 1184,8720?
The HCF of 1184,8720 is 16
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 1184/808, 8720/5870?
Answer: GCF of Numerators as per given numbers 1184/808, 8720/5870 is
GCF of Numerators i.e. for 1184,8720 is 16
LCM of denominators i.e. for 808,5870 is 2371480.
Thus, GCF of Fractions is 16/2371480.Finally, GCF of Fractions for 1184/808, 8720/5870 is 16/2371480.