GCF of 543/174, 8144/6742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 543/174, 8144/6742 i.e 1/586554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/174, 8144/6742.
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 543/174,8144/6742?
Given fractions are 543/174,8144/6742
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 543/174,8144/6742, numerators are 543,8144
Denominators are 174,6742
The GCF of 543,8144 is 1 .
LCM of 174,6742 is 586554.
The greatest common factor of 543/174,8144/6742 = [GCF of 543,8144]/[LCM of 174,6742]= 1/586554
Therefore, the GCF of 543/174,8144/6742 is 1/586554.
To find the highest common factor of 543,8144, 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 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The HCF of 543,8144 is 1.
Lets's calculate GCF of 543,8144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 543,8144 By Matching Biggest Common Factor Method
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 543,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 543,8144 is 1.
Lets's calculate LCM of 174,6742
| 2 | 174, 6742 |
| 87, 3371 |
∴ So the LCM of the given numbers is 2 x 87 x 3371 = 586554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586554
Therefore, the GCF of Fractions 543/174,8144/6742 is 1/586554
Least Common Multiple of 174,6742 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 174,6742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6742) x common factors =2 x 1 = 2
LCM(174,6742) = ( 174 × 6742 ) / 2
LCM(174,6742) = 1173108 / 2
LCM(174,6742) = 586554
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FAQs on GCF of Fractions of 543/174, 8144/6742
1. What is the HCF of 543,8144?
The HCF of 543,8144 is 1
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 543/174, 8144/6742?
Answer: GCF of Numerators as per given numbers 543/174, 8144/6742 is
GCF of Numerators i.e. for 543,8144 is 1
LCM of denominators i.e. for 174,6742 is 586554.
Thus, GCF of Fractions is 1/586554.Finally, GCF of Fractions for 543/174, 8144/6742 is 1/586554.