GCF of 993/17, 567/20, 392/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 993/17, 567/20, 392/305 i.e 1/20740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/17, 567/20, 392/305.
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 993/17,567/20,392/305?
Given fractions are 993/17,567/20,392/305
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 993/17,567/20,392/305, numerators are 993,567,392
Denominators are 17,20,305
The GCF of 993,567,392 is 1 .
LCM of 17,20,305 is 20740.
The greatest common factor of 993/17,567/20,392/305 = [GCF of 993,567,392]/[LCM of 17,20,305]= 1/20740
Therefore, the GCF of 993/17,567/20,392/305 is 1/20740.
To find the highest common factor of 993,567,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 993 are 1, 3, 331, 993
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 993,567,392 is 1.
Lets's calculate GCF of 993,567,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 993,567,392 By Matching Biggest Common Factor Method
Now, list down the factors of 993
:1,3,331,993
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 993,567,392 . The biggest common factor number is the GCF number.
So the greatest common factor 993,567,392 is 1.
Lets's calculate LCM of 17,20,305
| 5 | 17, 20, 305 |
| 17, 4, 61 |
∴ So the LCM of the given numbers is 5 x 17 x 4 x 61 = 20740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20740
Therefore, the GCF of Fractions 993/17,567/20,392/305 is 1/20740
Least Common Multiple of 17,20,305 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 17,20,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,20,305) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(17,20,305) x common factors =1 x 5 = 5
LCM(17,20,305) = ( 17 × 20 × 305 ) / 5
LCM(17,20,305) = 103700 / 5
LCM(17,20,305) = 20740
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FAQs on GCF of Fractions of 993/17, 567/20, 392/305
1. What is the HCF of 993,567,392?
The HCF of 993,567,392 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 993/17, 567/20, 392/305?
Answer: GCF of Numerators as per given numbers 993/17, 567/20, 392/305 is
GCF of Numerators i.e. for 993,567,392 is 1
LCM of denominators i.e. for 17,20,305 is 20740.
Thus, GCF of Fractions is 1/20740.Finally, GCF of Fractions for 993/17, 567/20, 392/305 is 1/20740.