GCF of 5643/540, 8814/9182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5643/540, 8814/9182 i.e 3/2479140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5643/540, 8814/9182.
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 5643/540,8814/9182?
Given fractions are 5643/540,8814/9182
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 5643/540,8814/9182, numerators are 5643,8814
Denominators are 540,9182
The GCF of 5643,8814 is 3 .
LCM of 540,9182 is 2479140.
The greatest common factor of 5643/540,8814/9182 = [GCF of 5643,8814]/[LCM of 540,9182]= 3/2479140
Therefore, the GCF of 5643/540,8814/9182 is 3/2479140.
To find the highest common factor of 5643,8814, we have to find the factors of both numbers and list the highest common factor.
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The HCF of 5643,8814 is 3.
Lets's calculate GCF of 5643,8814
| 3 | 5643, 8814 |
| 1881, 2938 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5643,8814 By Matching Biggest Common Factor Method
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 5643,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 5643,8814 is 3.
Lets's calculate LCM of 540,9182
| 2 | 540, 9182 |
| 270, 4591 |
∴ So the LCM of the given numbers is 2 x 270 x 4591 = 2479140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2479140
Therefore, the GCF of Fractions 5643/540,8814/9182 is 3/2479140
Least Common Multiple of 540,9182 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 540,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,9182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,9182) x common factors =2 x 1 = 2
LCM(540,9182) = ( 540 × 9182 ) / 2
LCM(540,9182) = 4958280 / 2
LCM(540,9182) = 2479140
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FAQs on GCF of Fractions of 5643/540, 8814/9182
1. What is the HCF of 5643,8814?
The HCF of 5643,8814 is 3
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 5643/540, 8814/9182?
Answer: GCF of Numerators as per given numbers 5643/540, 8814/9182 is
GCF of Numerators i.e. for 5643,8814 is 3
LCM of denominators i.e. for 540,9182 is 2479140.
Thus, GCF of Fractions is 3/2479140.Finally, GCF of Fractions for 5643/540, 8814/9182 is 3/2479140.