GCF of 5814/544, 5211/3100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5814/544, 5211/3100 i.e 9/421600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5814/544, 5211/3100.
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 5814/544,5211/3100?
Given fractions are 5814/544,5211/3100
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 5814/544,5211/3100, numerators are 5814,5211
Denominators are 544,3100
The GCF of 5814,5211 is 9 .
LCM of 544,3100 is 421600.
The greatest common factor of 5814/544,5211/3100 = [GCF of 5814,5211]/[LCM of 544,3100]= 9/421600
Therefore, the GCF of 5814/544,5211/3100 is 9/421600.
To find the highest common factor of 5814,5211, we have to find the factors of both numbers and list the highest common factor.
The factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The HCF of 5814,5211 is 9.
Lets's calculate GCF of 5814,5211
| 3 | 5814, 5211 |
| 3 | 1938, 1737 |
| 646, 579 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5814,5211 By Matching Biggest Common Factor Method
Now, list down the factors of 5814
:1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors 5814,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 5814,5211 is 9.
Lets's calculate LCM of 544,3100
| 2 | 544, 3100 |
| 2 | 272, 1550 |
| 136, 775 |
∴ So the LCM of the given numbers is 2 x 2 x 136 x 775 = 421600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/421600
Therefore, the GCF of Fractions 5814/544,5211/3100 is 9/421600
Least Common Multiple of 544,3100 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 544,3100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,3100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(544,3100) x common factors =4 x 1 = 4
LCM(544,3100) = ( 544 × 3100 ) / 4
LCM(544,3100) = 1686400 / 4
LCM(544,3100) = 421600
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FAQs on GCF of Fractions of 5814/544, 5211/3100
1. What is the HCF of 5814,5211?
The HCF of 5814,5211 is 9
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 5814/544, 5211/3100?
Answer: GCF of Numerators as per given numbers 5814/544, 5211/3100 is
GCF of Numerators i.e. for 5814,5211 is 9
LCM of denominators i.e. for 544,3100 is 421600.
Thus, GCF of Fractions is 9/421600.Finally, GCF of Fractions for 5814/544, 5211/3100 is 9/421600.