GCF of 567/59, 164/9981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 567/59, 164/9981 i.e 1/588879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/59, 164/9981.
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 567/59,164/9981?
Given fractions are 567/59,164/9981
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 567/59,164/9981, numerators are 567,164
Denominators are 59,9981
The GCF of 567,164 is 1 .
LCM of 59,9981 is 588879.
The greatest common factor of 567/59,164/9981 = [GCF of 567,164]/[LCM of 59,9981]= 1/588879
Therefore, the GCF of 567/59,164/9981 is 1/588879.
To find the highest common factor of 567,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 567,164 is 1.
Lets's calculate GCF of 567,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 567,164 By Matching Biggest Common Factor Method
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 567,164 . The biggest common factor number is the GCF number.
So the greatest common factor 567,164 is 1.
Lets's calculate LCM of 59,9981
Given numbers has no common factors except 1. So, there LCM is their product i.e 588879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588879
Therefore, the GCF of Fractions 567/59,164/9981 is 1/588879
Least Common Multiple of 59,9981 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 59,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,9981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,9981) x common factors =1 x 1 = 1
LCM(59,9981) = ( 59 × 9981 ) / 1
LCM(59,9981) = 588879 / 1
LCM(59,9981) = 588879
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FAQs on GCF of Fractions of 567/59, 164/9981
1. What is the HCF of 567,164?
The HCF of 567,164 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 567/59, 164/9981?
Answer: GCF of Numerators as per given numbers 567/59, 164/9981 is
GCF of Numerators i.e. for 567,164 is 1
LCM of denominators i.e. for 59,9981 is 588879.
Thus, GCF of Fractions is 1/588879.Finally, GCF of Fractions for 567/59, 164/9981 is 1/588879.