GCF of 363/493, 385/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 363/493, 385/382 i.e 11/188326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/493, 385/382.
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 363/493,385/382?
Given fractions are 363/493,385/382
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 363/493,385/382, numerators are 363,385
Denominators are 493,382
The GCF of 363,385 is 11 .
LCM of 493,382 is 188326.
The greatest common factor of 363/493,385/382 = [GCF of 363,385]/[LCM of 493,382]= 11/188326
Therefore, the GCF of 363/493,385/382 is 11/188326.
To find the highest common factor of 363,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 363 are 1, 3, 11, 33, 121, 363
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 363,385 is 11.
Lets's calculate GCF of 363,385
| 11 | 363, 385 |
| 33, 35 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 363,385 By Matching Biggest Common Factor Method
Now, list down the factors of 363
:1,3,11,33,121,363
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 363,385 . The biggest common factor number is the GCF number.
So the greatest common factor 363,385 is 11.
Lets's calculate LCM of 493,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 188326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/188326
Therefore, the GCF of Fractions 363/493,385/382 is 11/188326
Least Common Multiple of 493,382 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 493,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,382) x common factors =1 x 1 = 1
LCM(493,382) = ( 493 × 382 ) / 1
LCM(493,382) = 188326 / 1
LCM(493,382) = 188326
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FAQs on GCF of Fractions of 363/493, 385/382
1. What is the HCF of 363,385?
The HCF of 363,385 is 11
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 363/493, 385/382?
Answer: GCF of Numerators as per given numbers 363/493, 385/382 is
GCF of Numerators i.e. for 363,385 is 11
LCM of denominators i.e. for 493,382 is 188326.
Thus, GCF of Fractions is 11/188326.Finally, GCF of Fractions for 363/493, 385/382 is 11/188326.