GCF of 328/88, 820/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 328/88, 820/184 i.e 164/2024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/88, 820/184.
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 328/88,820/184?
Given fractions are 328/88,820/184
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 328/88,820/184, numerators are 328,820
Denominators are 88,184
The GCF of 328,820 is 164 .
LCM of 88,184 is 2024.
The greatest common factor of 328/88,820/184 = [GCF of 328,820]/[LCM of 88,184]= 164/2024
Therefore, the GCF of 328/88,820/184 is 164/2024.
To find the highest common factor of 328,820, we have to find the factors of both numbers and list the highest common factor.
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 328,820 is 164.
Lets's calculate GCF of 328,820
| 2 | 328, 820 |
| 2 | 164, 410 |
| 41 | 82, 205 |
| 2, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 41 = 164
Greatest Common Factor of 328,820 By Matching Biggest Common Factor Method
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 328,820 . The biggest common factor number is the GCF number.
So the greatest common factor 328,820 is 164.
Lets's calculate LCM of 88,184
| 2 | 88, 184 |
| 2 | 44, 92 |
| 2 | 22, 46 |
| 11, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 23 = 2024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 164/2024
Therefore, the GCF of Fractions 328/88,820/184 is 164/2024
Least Common Multiple of 88,184 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 88,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,184) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(88,184) x common factors =8 x 1 = 8
LCM(88,184) = ( 88 × 184 ) / 8
LCM(88,184) = 16192 / 8
LCM(88,184) = 2024
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FAQs on GCF of Fractions of 328/88, 820/184
1. What is the HCF of 328,820?
The HCF of 328,820 is 164
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 328/88, 820/184?
Answer: GCF of Numerators as per given numbers 328/88, 820/184 is
GCF of Numerators i.e. for 328,820 is 164
LCM of denominators i.e. for 88,184 is 2024.
Thus, GCF of Fractions is 164/2024.Finally, GCF of Fractions for 328/88, 820/184 is 164/2024.