GCF of 14/100, 23/550, 667/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/100, 23/550, 667/588 i.e 1/161700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/100, 23/550, 667/588.
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 14/100,23/550,667/588?
Given fractions are 14/100,23/550,667/588
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 14/100,23/550,667/588, numerators are 14,23,667
Denominators are 100,550,588
The GCF of 14,23,667 is 1 .
LCM of 100,550,588 is 161700.
The greatest common factor of 14/100,23/550,667/588 = [GCF of 14,23,667]/[LCM of 100,550,588]= 1/161700
Therefore, the GCF of 14/100,23/550,667/588 is 1/161700.
To find the highest common factor of 14,23,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 23 are 1, 23
The factors of 667 are 1, 23, 29, 667
The HCF of 14,23,667 is 1.
Lets's calculate GCF of 14,23,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,23,667 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 23
:1,23
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 14,23,667 . The biggest common factor number is the GCF number.
So the greatest common factor 14,23,667 is 1.
Lets's calculate LCM of 100,550,588
| 2 | 100, 550, 588 |
| 2 | 50, 275, 294 |
| 5 | 25, 275, 147 |
| 5 | 5, 55, 147 |
| 1, 11, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 11 x 147 = 161700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161700
Therefore, the GCF of Fractions 14/100,23/550,667/588 is 1/161700
Least Common Multiple of 100,550,588 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 100,550,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,550,588) = 2
common factors(in case of two or more numbers have common factors) = 100
GCF(100,550,588) x common factors =2 x 100 = 200
LCM(100,550,588) = ( 100 × 550 × 588 ) / 200
LCM(100,550,588) = 32340000 / 200
LCM(100,550,588) = 161700
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FAQs on GCF of Fractions of 14/100, 23/550, 667/588
1. What is the HCF of 14,23,667?
The HCF of 14,23,667 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 14/100, 23/550, 667/588?
Answer: GCF of Numerators as per given numbers 14/100, 23/550, 667/588 is
GCF of Numerators i.e. for 14,23,667 is 1
LCM of denominators i.e. for 100,550,588 is 161700.
Thus, GCF of Fractions is 1/161700.Finally, GCF of Fractions for 14/100, 23/550, 667/588 is 1/161700.