GCF of 363/343, 242/296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 363/343, 242/296 i.e 121/101528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/343, 242/296.
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 363/343,242/296?
Given fractions are 363/343,242/296
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 363/343,242/296, numerators are 363,242
Denominators are 343,296
The GCF of 363,242 is 121 .
LCM of 343,296 is 101528.
The greatest common factor of 363/343,242/296 = [GCF of 363,242]/[LCM of 343,296]= 121/101528
Therefore, the GCF of 363/343,242/296 is 121/101528.
To find the highest common factor of 363,242, 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 242 are 1, 2, 11, 22, 121, 242
The HCF of 363,242 is 121.
Lets's calculate GCF of 363,242
| 11 | 363, 242 |
| 11 | 33, 22 |
| 3, 2 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Greatest Common Factor of 363,242 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 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 363,242 . The biggest common factor number is the GCF number.
So the greatest common factor 363,242 is 121.
Lets's calculate LCM of 343,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 101528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/101528
Therefore, the GCF of Fractions 363/343,242/296 is 121/101528
Least Common Multiple of 343,296 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 343,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,296) x common factors =1 x 1 = 1
LCM(343,296) = ( 343 × 296 ) / 1
LCM(343,296) = 101528 / 1
LCM(343,296) = 101528
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FAQs on GCF of Fractions of 363/343, 242/296
1. What is the HCF of 363,242?
The HCF of 363,242 is 121
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 363/343, 242/296?
Answer: GCF of Numerators as per given numbers 363/343, 242/296 is
GCF of Numerators i.e. for 363,242 is 121
LCM of denominators i.e. for 343,296 is 101528.
Thus, GCF of Fractions is 121/101528.Finally, GCF of Fractions for 363/343, 242/296 is 121/101528.