GCF of 179/76, 664/16, 746/17
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 179/76, 664/16, 746/17 i.e 1/5168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/76, 664/16, 746/17.
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 179/76,664/16,746/17?
Given fractions are 179/76,664/16,746/17
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 179/76,664/16,746/17, numerators are 179,664,746
Denominators are 76,16,17
The GCF of 179,664,746 is 1 .
LCM of 76,16,17 is 5168.
The greatest common factor of 179/76,664/16,746/17 = [GCF of 179,664,746]/[LCM of 76,16,17]= 1/5168
Therefore, the GCF of 179/76,664/16,746/17 is 1/5168.
To find the highest common factor of 179,664,746, we have to find the factors of both numbers and list the highest common factor.
The factors of 179 are 1, 179
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 746 are 1, 2, 373, 746
The HCF of 179,664,746 is 1.
Lets's calculate GCF of 179,664,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 179,664,746 By Matching Biggest Common Factor Method
Now, list down the factors of 179
:1,179
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 746
:1,2,373,746
Greatest Common Factor
We found the factors 179,664,746 . The biggest common factor number is the GCF number.
So the greatest common factor 179,664,746 is 1.
Lets's calculate LCM of 76,16,17
| 2 | 76, 16, 17 |
| 2 | 38, 8, 17 |
| 19, 4, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 4 x 17 = 5168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5168
Therefore, the GCF of Fractions 179/76,664/16,746/17 is 1/5168
Least Common Multiple of 76,16,17 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 76,16,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,16,17) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,16,17) x common factors =1 x 4 = 4
LCM(76,16,17) = ( 76 × 16 × 17 ) / 4
LCM(76,16,17) = 20672 / 4
LCM(76,16,17) = 5168
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FAQs on GCF of Fractions of 179/76, 664/16, 746/17
1. What is the HCF of 179,664,746?
The HCF of 179,664,746 is 1
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 179/76, 664/16, 746/17?
Answer: GCF of Numerators as per given numbers 179/76, 664/16, 746/17 is
GCF of Numerators i.e. for 179,664,746 is 1
LCM of denominators i.e. for 76,16,17 is 5168.
Thus, GCF of Fractions is 1/5168.Finally, GCF of Fractions for 179/76, 664/16, 746/17 is 1/5168.