GCF of 4143/586, 9409/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4143/586, 9409/432 i.e 1/126576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4143/586, 9409/432.
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 4143/586,9409/432?
Given fractions are 4143/586,9409/432
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 4143/586,9409/432, numerators are 4143,9409
Denominators are 586,432
The GCF of 4143,9409 is 1 .
LCM of 586,432 is 126576.
The greatest common factor of 4143/586,9409/432 = [GCF of 4143,9409]/[LCM of 586,432]= 1/126576
Therefore, the GCF of 4143/586,9409/432 is 1/126576.
To find the highest common factor of 4143,9409, we have to find the factors of both numbers and list the highest common factor.
The factors of 4143 are 1, 3, 1381, 4143
The factors of 9409 are 1, 97, 9409
The HCF of 4143,9409 is 1.
Lets's calculate GCF of 4143,9409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4143,9409 By Matching Biggest Common Factor Method
Now, list down the factors of 4143
:1,3,1381,4143
Now, list down the factors of 9409
:1,97,9409
Greatest Common Factor
We found the factors 4143,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 4143,9409 is 1.
Lets's calculate LCM of 586,432
| 2 | 586, 432 |
| 293, 216 |
∴ So the LCM of the given numbers is 2 x 293 x 216 = 126576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126576
Therefore, the GCF of Fractions 4143/586,9409/432 is 1/126576
Least Common Multiple of 586,432 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 586,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,432) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,432) x common factors =2 x 1 = 2
LCM(586,432) = ( 586 × 432 ) / 2
LCM(586,432) = 253152 / 2
LCM(586,432) = 126576
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FAQs on GCF of Fractions of 4143/586, 9409/432
1. What is the HCF of 4143,9409?
The HCF of 4143,9409 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 4143/586, 9409/432?
Answer: GCF of Numerators as per given numbers 4143/586, 9409/432 is
GCF of Numerators i.e. for 4143,9409 is 1
LCM of denominators i.e. for 586,432 is 126576.
Thus, GCF of Fractions is 1/126576.Finally, GCF of Fractions for 4143/586, 9409/432 is 1/126576.