GCF of 324/228, 549/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/228, 549/554 i.e 9/63156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/228, 549/554.
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 324/228,549/554?
Given fractions are 324/228,549/554
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 324/228,549/554, numerators are 324,549
Denominators are 228,554
The GCF of 324,549 is 9 .
LCM of 228,554 is 63156.
The greatest common factor of 324/228,549/554 = [GCF of 324,549]/[LCM of 228,554]= 9/63156
Therefore, the GCF of 324/228,549/554 is 9/63156.
To find the highest common factor of 324,549, 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 549 are 1, 3, 9, 61, 183, 549
The HCF of 324,549 is 9.
Lets's calculate GCF of 324,549
| 3 | 324, 549 |
| 3 | 108, 183 |
| 36, 61 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 324,549 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 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 324,549 . The biggest common factor number is the GCF number.
So the greatest common factor 324,549 is 9.
Lets's calculate LCM of 228,554
| 2 | 228, 554 |
| 114, 277 |
∴ So the LCM of the given numbers is 2 x 114 x 277 = 63156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/63156
Therefore, the GCF of Fractions 324/228,549/554 is 9/63156
Least Common Multiple of 228,554 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 228,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,554) x common factors =2 x 1 = 2
LCM(228,554) = ( 228 × 554 ) / 2
LCM(228,554) = 126312 / 2
LCM(228,554) = 63156
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FAQs on GCF of Fractions of 324/228, 549/554
1. What is the HCF of 324,549?
The HCF of 324,549 is 9
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 324/228, 549/554?
Answer: GCF of Numerators as per given numbers 324/228, 549/554 is
GCF of Numerators i.e. for 324,549 is 9
LCM of denominators i.e. for 228,554 is 63156.
Thus, GCF of Fractions is 9/63156.Finally, GCF of Fractions for 324/228, 549/554 is 9/63156.