GCF of 4773/164, 4146/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4773/164, 4146/128 i.e 3/5248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4773/164, 4146/128.
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 4773/164,4146/128?
Given fractions are 4773/164,4146/128
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 4773/164,4146/128, numerators are 4773,4146
Denominators are 164,128
The GCF of 4773,4146 is 3 .
LCM of 164,128 is 5248.
The greatest common factor of 4773/164,4146/128 = [GCF of 4773,4146]/[LCM of 164,128]= 3/5248
Therefore, the GCF of 4773/164,4146/128 is 3/5248.
To find the highest common factor of 4773,4146, we have to find the factors of both numbers and list the highest common factor.
The factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773
The factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146
The HCF of 4773,4146 is 3.
Lets's calculate GCF of 4773,4146
| 3 | 4773, 4146 |
| 1591, 1382 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4773,4146 By Matching Biggest Common Factor Method
Now, list down the factors of 4773
:1,3,37,43,111,129,1591,4773
Now, list down the factors of 4146
:1,2,3,6,691,1382,2073,4146
Greatest Common Factor
We found the factors 4773,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 4773,4146 is 3.
Lets's calculate LCM of 164,128
| 2 | 164, 128 |
| 2 | 82, 64 |
| 41, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 32 = 5248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5248
Therefore, the GCF of Fractions 4773/164,4146/128 is 3/5248
Least Common Multiple of 164,128 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 164,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,128) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,128) x common factors =4 x 1 = 4
LCM(164,128) = ( 164 × 128 ) / 4
LCM(164,128) = 20992 / 4
LCM(164,128) = 5248
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FAQs on GCF of Fractions of 4773/164, 4146/128
1. What is the HCF of 4773,4146?
The HCF of 4773,4146 is 3
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 4773/164, 4146/128?
Answer: GCF of Numerators as per given numbers 4773/164, 4146/128 is
GCF of Numerators i.e. for 4773,4146 is 3
LCM of denominators i.e. for 164,128 is 5248.
Thus, GCF of Fractions is 3/5248.Finally, GCF of Fractions for 4773/164, 4146/128 is 3/5248.