GCF of 1808/320, 5508/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1808/320, 5508/854 i.e 4/136640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1808/320, 5508/854.
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 1808/320,5508/854?
Given fractions are 1808/320,5508/854
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 1808/320,5508/854, numerators are 1808,5508
Denominators are 320,854
The GCF of 1808,5508 is 4 .
LCM of 320,854 is 136640.
The greatest common factor of 1808/320,5508/854 = [GCF of 1808,5508]/[LCM of 320,854]= 4/136640
Therefore, the GCF of 1808/320,5508/854 is 4/136640.
To find the highest common factor of 1808,5508, we have to find the factors of both numbers and list the highest common factor.
The factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808
The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508
The HCF of 1808,5508 is 4.
Lets's calculate GCF of 1808,5508
| 2 | 1808, 5508 |
| 2 | 904, 2754 |
| 452, 1377 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1808,5508 By Matching Biggest Common Factor Method
Now, list down the factors of 1808
:1,2,4,8,16,113,226,452,904,1808
Now, list down the factors of 5508
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Greatest Common Factor
We found the factors 1808,5508 . The biggest common factor number is the GCF number.
So the greatest common factor 1808,5508 is 4.
Lets's calculate LCM of 320,854
| 2 | 320, 854 |
| 160, 427 |
∴ So the LCM of the given numbers is 2 x 160 x 427 = 136640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136640
Therefore, the GCF of Fractions 1808/320,5508/854 is 4/136640
Least Common Multiple of 320,854 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 320,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,854) x common factors =2 x 1 = 2
LCM(320,854) = ( 320 × 854 ) / 2
LCM(320,854) = 273280 / 2
LCM(320,854) = 136640
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FAQs on GCF of Fractions of 1808/320, 5508/854
1. What is the HCF of 1808,5508?
The HCF of 1808,5508 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 1808/320, 5508/854?
Answer: GCF of Numerators as per given numbers 1808/320, 5508/854 is
GCF of Numerators i.e. for 1808,5508 is 4
LCM of denominators i.e. for 320,854 is 136640.
Thus, GCF of Fractions is 4/136640.Finally, GCF of Fractions for 1808/320, 5508/854 is 4/136640.