GCF of 4254/586, 8184/8334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4254/586, 8184/8334 i.e 6/2441862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4254/586, 8184/8334.
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 4254/586,8184/8334?
Given fractions are 4254/586,8184/8334
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 4254/586,8184/8334, numerators are 4254,8184
Denominators are 586,8334
The GCF of 4254,8184 is 6 .
LCM of 586,8334 is 2441862.
The greatest common factor of 4254/586,8184/8334 = [GCF of 4254,8184]/[LCM of 586,8334]= 6/2441862
Therefore, the GCF of 4254/586,8184/8334 is 6/2441862.
To find the highest common factor of 4254,8184, we have to find the factors of both numbers and list the highest common factor.
The factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254
The factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184
The HCF of 4254,8184 is 6.
Lets's calculate GCF of 4254,8184
| 2 | 4254, 8184 |
| 3 | 2127, 4092 |
| 709, 1364 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4254,8184 By Matching Biggest Common Factor Method
Now, list down the factors of 4254
:1,2,3,6,709,1418,2127,4254
Now, list down the factors of 8184
:1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Greatest Common Factor
We found the factors 4254,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 4254,8184 is 6.
Lets's calculate LCM of 586,8334
| 2 | 586, 8334 |
| 293, 4167 |
∴ So the LCM of the given numbers is 2 x 293 x 4167 = 2441862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2441862
Therefore, the GCF of Fractions 4254/586,8184/8334 is 6/2441862
Least Common Multiple of 586,8334 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 586,8334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8334) x common factors =2 x 1 = 2
LCM(586,8334) = ( 586 × 8334 ) / 2
LCM(586,8334) = 4883724 / 2
LCM(586,8334) = 2441862
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FAQs on GCF of Fractions of 4254/586, 8184/8334
1. What is the HCF of 4254,8184?
The HCF of 4254,8184 is 6
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 4254/586, 8184/8334?
Answer: GCF of Numerators as per given numbers 4254/586, 8184/8334 is
GCF of Numerators i.e. for 4254,8184 is 6
LCM of denominators i.e. for 586,8334 is 2441862.
Thus, GCF of Fractions is 6/2441862.Finally, GCF of Fractions for 4254/586, 8184/8334 is 6/2441862.