GCF of 543/810, 9627/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 543/810, 9627/492 i.e 3/66420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/810, 9627/492.
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 543/810,9627/492?
Given fractions are 543/810,9627/492
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 543/810,9627/492, numerators are 543,9627
Denominators are 810,492
The GCF of 543,9627 is 3 .
LCM of 810,492 is 66420.
The greatest common factor of 543/810,9627/492 = [GCF of 543,9627]/[LCM of 810,492]= 3/66420
Therefore, the GCF of 543/810,9627/492 is 3/66420.
To find the highest common factor of 543,9627, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 9627 are 1, 3, 3209, 9627
The HCF of 543,9627 is 3.
Lets's calculate GCF of 543,9627
| 3 | 543, 9627 |
| 181, 3209 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 543,9627 By Matching Biggest Common Factor Method
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 9627
:1,3,3209,9627
Greatest Common Factor
We found the factors 543,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 543,9627 is 3.
Lets's calculate LCM of 810,492
| 2 | 810, 492 |
| 3 | 405, 246 |
| 135, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 135 x 82 = 66420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66420
Therefore, the GCF of Fractions 543/810,9627/492 is 3/66420
Least Common Multiple of 810,492 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 810,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,492) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(810,492) x common factors =6 x 1 = 6
LCM(810,492) = ( 810 × 492 ) / 6
LCM(810,492) = 398520 / 6
LCM(810,492) = 66420
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FAQs on GCF of Fractions of 543/810, 9627/492
1. What is the HCF of 543,9627?
The HCF of 543,9627 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 543/810, 9627/492?
Answer: GCF of Numerators as per given numbers 543/810, 9627/492 is
GCF of Numerators i.e. for 543,9627 is 3
LCM of denominators i.e. for 810,492 is 66420.
Thus, GCF of Fractions is 3/66420.Finally, GCF of Fractions for 543/810, 9627/492 is 3/66420.