GCF of 164/76, 732/57, 636/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 164/76, 732/57, 636/103 i.e 4/23484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/76, 732/57, 636/103.
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 164/76,732/57,636/103?
Given fractions are 164/76,732/57,636/103
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 164/76,732/57,636/103, numerators are 164,732,636
Denominators are 76,57,103
The GCF of 164,732,636 is 4 .
LCM of 76,57,103 is 23484.
The greatest common factor of 164/76,732/57,636/103 = [GCF of 164,732,636]/[LCM of 76,57,103]= 4/23484
Therefore, the GCF of 164/76,732/57,636/103 is 4/23484.
To find the highest common factor of 164,732,636, we have to find the factors of both numbers and list the highest common factor.
The factors of 164 are 1, 2, 4, 41, 82, 164
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 164,732,636 is 4.
Lets's calculate GCF of 164,732,636
| 2 | 164, 732, 636 |
| 2 | 82, 366, 318 |
| 41, 183, 159 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 164,732,636 By Matching Biggest Common Factor Method
Now, list down the factors of 164
:1,2,4,41,82,164
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 164,732,636 . The biggest common factor number is the GCF number.
So the greatest common factor 164,732,636 is 4.
Lets's calculate LCM of 76,57,103
| 19 | 76, 57, 103 |
| 4, 3, 103 |
∴ So the LCM of the given numbers is 19 x 4 x 3 x 103 = 23484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23484
Therefore, the GCF of Fractions 164/76,732/57,636/103 is 4/23484
Least Common Multiple of 76,57,103 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 76,57,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,57,103) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(76,57,103) x common factors =1 x 19 = 19
LCM(76,57,103) = ( 76 × 57 × 103 ) / 19
LCM(76,57,103) = 446196 / 19
LCM(76,57,103) = 23484
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FAQs on GCF of Fractions of 164/76, 732/57, 636/103
1. What is the HCF of 164,732,636?
The HCF of 164,732,636 is 4
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 164/76, 732/57, 636/103?
Answer: GCF of Numerators as per given numbers 164/76, 732/57, 636/103 is
GCF of Numerators i.e. for 164,732,636 is 4
LCM of denominators i.e. for 76,57,103 is 23484.
Thus, GCF of Fractions is 4/23484.Finally, GCF of Fractions for 164/76, 732/57, 636/103 is 4/23484.