GCF of 793/327, 420/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/327, 420/111 i.e 1/12099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/327, 420/111.
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 793/327,420/111?
Given fractions are 793/327,420/111
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 793/327,420/111, numerators are 793,420
Denominators are 327,111
The GCF of 793,420 is 1 .
LCM of 327,111 is 12099.
The greatest common factor of 793/327,420/111 = [GCF of 793,420]/[LCM of 327,111]= 1/12099
Therefore, the GCF of 793/327,420/111 is 1/12099.
To find the highest common factor of 793,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 793,420 is 1.
Lets's calculate GCF of 793,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,420 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 793,420 . The biggest common factor number is the GCF number.
So the greatest common factor 793,420 is 1.
Lets's calculate LCM of 327,111
| 3 | 327, 111 |
| 109, 37 |
∴ So the LCM of the given numbers is 3 x 109 x 37 = 12099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12099
Therefore, the GCF of Fractions 793/327,420/111 is 1/12099
Least Common Multiple of 327,111 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 327,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(327,111) x common factors =3 x 1 = 3
LCM(327,111) = ( 327 × 111 ) / 3
LCM(327,111) = 36297 / 3
LCM(327,111) = 12099
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FAQs on GCF of Fractions of 793/327, 420/111
1. What is the HCF of 793,420?
The HCF of 793,420 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 793/327, 420/111?
Answer: GCF of Numerators as per given numbers 793/327, 420/111 is
GCF of Numerators i.e. for 793,420 is 1
LCM of denominators i.e. for 327,111 is 12099.
Thus, GCF of Fractions is 1/12099.Finally, GCF of Fractions for 793/327, 420/111 is 1/12099.