GCF of 5535/364, 3206/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5535/364, 3206/134 i.e 1/24388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5535/364, 3206/134.
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 5535/364,3206/134?
Given fractions are 5535/364,3206/134
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 5535/364,3206/134, numerators are 5535,3206
Denominators are 364,134
The GCF of 5535,3206 is 1 .
LCM of 364,134 is 24388.
The greatest common factor of 5535/364,3206/134 = [GCF of 5535,3206]/[LCM of 364,134]= 1/24388
Therefore, the GCF of 5535/364,3206/134 is 1/24388.
To find the highest common factor of 5535,3206, we have to find the factors of both numbers and list the highest common factor.
The factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535
The factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206
The HCF of 5535,3206 is 1.
Lets's calculate GCF of 5535,3206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5535,3206 By Matching Biggest Common Factor Method
Now, list down the factors of 5535
:1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535
Now, list down the factors of 3206
:1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors 5535,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 5535,3206 is 1.
Lets's calculate LCM of 364,134
| 2 | 364, 134 |
| 182, 67 |
∴ So the LCM of the given numbers is 2 x 182 x 67 = 24388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24388
Therefore, the GCF of Fractions 5535/364,3206/134 is 1/24388
Least Common Multiple of 364,134 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 364,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,134) x common factors =2 x 1 = 2
LCM(364,134) = ( 364 × 134 ) / 2
LCM(364,134) = 48776 / 2
LCM(364,134) = 24388
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FAQs on GCF of Fractions of 5535/364, 3206/134
1. What is the HCF of 5535,3206?
The HCF of 5535,3206 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 5535/364, 3206/134?
Answer: GCF of Numerators as per given numbers 5535/364, 3206/134 is
GCF of Numerators i.e. for 5535,3206 is 1
LCM of denominators i.e. for 364,134 is 24388.
Thus, GCF of Fractions is 1/24388.Finally, GCF of Fractions for 5535/364, 3206/134 is 1/24388.