GCF of 324/298, 5346/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/298, 5346/468 i.e 162/69732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/298, 5346/468.
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 324/298,5346/468?
Given fractions are 324/298,5346/468
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 324/298,5346/468, numerators are 324,5346
Denominators are 298,468
The GCF of 324,5346 is 162 .
LCM of 298,468 is 69732.
The greatest common factor of 324/298,5346/468 = [GCF of 324,5346]/[LCM of 298,468]= 162/69732
Therefore, the GCF of 324/298,5346/468 is 162/69732.
To find the highest common factor of 324,5346, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The HCF of 324,5346 is 162.
Lets's calculate GCF of 324,5346
| 2 | 324, 5346 |
| 3 | 162, 2673 |
| 3 | 54, 891 |
| 3 | 18, 297 |
| 3 | 6, 99 |
| 2, 33 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 324,5346 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 324,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 324,5346 is 162.
Lets's calculate LCM of 298,468
| 2 | 298, 468 |
| 149, 234 |
∴ So the LCM of the given numbers is 2 x 149 x 234 = 69732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/69732
Therefore, the GCF of Fractions 324/298,5346/468 is 162/69732
Least Common Multiple of 298,468 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 298,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,468) x common factors =2 x 1 = 2
LCM(298,468) = ( 298 × 468 ) / 2
LCM(298,468) = 139464 / 2
LCM(298,468) = 69732
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FAQs on GCF of Fractions of 324/298, 5346/468
1. What is the HCF of 324,5346?
The HCF of 324,5346 is 162
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 324/298, 5346/468?
Answer: GCF of Numerators as per given numbers 324/298, 5346/468 is
GCF of Numerators i.e. for 324,5346 is 162
LCM of denominators i.e. for 298,468 is 69732.
Thus, GCF of Fractions is 162/69732.Finally, GCF of Fractions for 324/298, 5346/468 is 162/69732.