GCF of 3753/197, 1353/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3753/197, 1353/494 i.e 3/97318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3753/197, 1353/494.
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 3753/197,1353/494?
Given fractions are 3753/197,1353/494
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 3753/197,1353/494, numerators are 3753,1353
Denominators are 197,494
The GCF of 3753,1353 is 3 .
LCM of 197,494 is 97318.
The greatest common factor of 3753/197,1353/494 = [GCF of 3753,1353]/[LCM of 197,494]= 3/97318
Therefore, the GCF of 3753/197,1353/494 is 3/97318.
To find the highest common factor of 3753,1353, we have to find the factors of both numbers and list the highest common factor.
The factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753
The factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353
The HCF of 3753,1353 is 3.
Lets's calculate GCF of 3753,1353
| 3 | 3753, 1353 |
| 1251, 451 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3753,1353 By Matching Biggest Common Factor Method
Now, list down the factors of 3753
:1,3,9,27,139,417,1251,3753
Now, list down the factors of 1353
:1,3,11,33,41,123,451,1353
Greatest Common Factor
We found the factors 3753,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 3753,1353 is 3.
Lets's calculate LCM of 197,494
Given numbers has no common factors except 1. So, there LCM is their product i.e 97318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97318
Therefore, the GCF of Fractions 3753/197,1353/494 is 3/97318
Least Common Multiple of 197,494 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 197,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,494) x common factors =1 x 1 = 1
LCM(197,494) = ( 197 × 494 ) / 1
LCM(197,494) = 97318 / 1
LCM(197,494) = 97318
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FAQs on GCF of Fractions of 3753/197, 1353/494
1. What is the HCF of 3753,1353?
The HCF of 3753,1353 is 3
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 3753/197, 1353/494?
Answer: GCF of Numerators as per given numbers 3753/197, 1353/494 is
GCF of Numerators i.e. for 3753,1353 is 3
LCM of denominators i.e. for 197,494 is 97318.
Thus, GCF of Fractions is 3/97318.Finally, GCF of Fractions for 3753/197, 1353/494 is 3/97318.