GCF of 4152/328, 8466/2552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4152/328, 8466/2552 i.e 6/104632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4152/328, 8466/2552.
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 4152/328,8466/2552?
Given fractions are 4152/328,8466/2552
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 4152/328,8466/2552, numerators are 4152,8466
Denominators are 328,2552
The GCF of 4152,8466 is 6 .
LCM of 328,2552 is 104632.
The greatest common factor of 4152/328,8466/2552 = [GCF of 4152,8466]/[LCM of 328,2552]= 6/104632
Therefore, the GCF of 4152/328,8466/2552 is 6/104632.
To find the highest common factor of 4152,8466, we have to find the factors of both numbers and list the highest common factor.
The factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The HCF of 4152,8466 is 6.
Lets's calculate GCF of 4152,8466
| 2 | 4152, 8466 |
| 3 | 2076, 4233 |
| 692, 1411 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4152,8466 By Matching Biggest Common Factor Method
Now, list down the factors of 4152
:1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Greatest Common Factor
We found the factors 4152,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 4152,8466 is 6.
Lets's calculate LCM of 328,2552
| 2 | 328, 2552 |
| 2 | 164, 1276 |
| 2 | 82, 638 |
| 41, 319 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 319 = 104632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/104632
Therefore, the GCF of Fractions 4152/328,8466/2552 is 6/104632
Least Common Multiple of 328,2552 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 328,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,2552) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(328,2552) x common factors =8 x 1 = 8
LCM(328,2552) = ( 328 × 2552 ) / 8
LCM(328,2552) = 837056 / 8
LCM(328,2552) = 104632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4152/328, 8466/2552
1. What is the HCF of 4152,8466?
The HCF of 4152,8466 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 4152/328, 8466/2552?
Answer: GCF of Numerators as per given numbers 4152/328, 8466/2552 is
GCF of Numerators i.e. for 4152,8466 is 6
LCM of denominators i.e. for 328,2552 is 104632.
Thus, GCF of Fractions is 6/104632.Finally, GCF of Fractions for 4152/328, 8466/2552 is 6/104632.