GCF of 163/324, 9734/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 163/324, 9734/187 i.e 1/60588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 163/324, 9734/187.
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 163/324,9734/187?
Given fractions are 163/324,9734/187
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 163/324,9734/187, numerators are 163,9734
Denominators are 324,187
The GCF of 163,9734 is 1 .
LCM of 324,187 is 60588.
The greatest common factor of 163/324,9734/187 = [GCF of 163,9734]/[LCM of 324,187]= 1/60588
Therefore, the GCF of 163/324,9734/187 is 1/60588.
To find the highest common factor of 163,9734, we have to find the factors of both numbers and list the highest common factor.
The factors of 163 are 1, 163
The factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734
The HCF of 163,9734 is 1.
Lets's calculate GCF of 163,9734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 163,9734 By Matching Biggest Common Factor Method
Now, list down the factors of 163
:1,163
Now, list down the factors of 9734
:1,2,31,62,157,314,4867,9734
Greatest Common Factor
We found the factors 163,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 163,9734 is 1.
Lets's calculate LCM of 324,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 60588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60588
Therefore, the GCF of Fractions 163/324,9734/187 is 1/60588
Least Common Multiple of 324,187 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 324,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,187) x common factors =1 x 1 = 1
LCM(324,187) = ( 324 × 187 ) / 1
LCM(324,187) = 60588 / 1
LCM(324,187) = 60588
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FAQs on GCF of Fractions of 163/324, 9734/187
1. What is the HCF of 163,9734?
The HCF of 163,9734 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 163/324, 9734/187?
Answer: GCF of Numerators as per given numbers 163/324, 9734/187 is
GCF of Numerators i.e. for 163,9734 is 1
LCM of denominators i.e. for 324,187 is 60588.
Thus, GCF of Fractions is 1/60588.Finally, GCF of Fractions for 163/324, 9734/187 is 1/60588.