GCF of 5498/162, 5949/9365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5498/162, 5949/9365 i.e 1/1517130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5498/162, 5949/9365.
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 5498/162,5949/9365?
Given fractions are 5498/162,5949/9365
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 5498/162,5949/9365, numerators are 5498,5949
Denominators are 162,9365
The GCF of 5498,5949 is 1 .
LCM of 162,9365 is 1517130.
The greatest common factor of 5498/162,5949/9365 = [GCF of 5498,5949]/[LCM of 162,9365]= 1/1517130
Therefore, the GCF of 5498/162,5949/9365 is 1/1517130.
To find the highest common factor of 5498,5949, we have to find the factors of both numbers and list the highest common factor.
The factors of 5498 are 1, 2, 2749, 5498
The factors of 5949 are 1, 3, 9, 661, 1983, 5949
The HCF of 5498,5949 is 1.
Lets's calculate GCF of 5498,5949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5498,5949 By Matching Biggest Common Factor Method
Now, list down the factors of 5498
:1,2,2749,5498
Now, list down the factors of 5949
:1,3,9,661,1983,5949
Greatest Common Factor
We found the factors 5498,5949 . The biggest common factor number is the GCF number.
So the greatest common factor 5498,5949 is 1.
Lets's calculate LCM of 162,9365
Given numbers has no common factors except 1. So, there LCM is their product i.e 1517130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1517130
Therefore, the GCF of Fractions 5498/162,5949/9365 is 1/1517130
Least Common Multiple of 162,9365 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 162,9365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,9365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,9365) x common factors =1 x 1 = 1
LCM(162,9365) = ( 162 × 9365 ) / 1
LCM(162,9365) = 1517130 / 1
LCM(162,9365) = 1517130
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FAQs on GCF of Fractions of 5498/162, 5949/9365
1. What is the HCF of 5498,5949?
The HCF of 5498,5949 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 5498/162, 5949/9365?
Answer: GCF of Numerators as per given numbers 5498/162, 5949/9365 is
GCF of Numerators i.e. for 5498,5949 is 1
LCM of denominators i.e. for 162,9365 is 1517130.
Thus, GCF of Fractions is 1/1517130.Finally, GCF of Fractions for 5498/162, 5949/9365 is 1/1517130.