GCF of 169/539, 9367/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 169/539, 9367/218 i.e 1/117502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/539, 9367/218.
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 169/539,9367/218?
Given fractions are 169/539,9367/218
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 169/539,9367/218, numerators are 169,9367
Denominators are 539,218
The GCF of 169,9367 is 1 .
LCM of 539,218 is 117502.
The greatest common factor of 169/539,9367/218 = [GCF of 169,9367]/[LCM of 539,218]= 1/117502
Therefore, the GCF of 169/539,9367/218 is 1/117502.
To find the highest common factor of 169,9367, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367
The HCF of 169,9367 is 1.
Lets's calculate GCF of 169,9367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 169,9367 By Matching Biggest Common Factor Method
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 9367
:1,17,19,29,323,493,551,9367
Greatest Common Factor
We found the factors 169,9367 . The biggest common factor number is the GCF number.
So the greatest common factor 169,9367 is 1.
Lets's calculate LCM of 539,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 117502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117502
Therefore, the GCF of Fractions 169/539,9367/218 is 1/117502
Least Common Multiple of 539,218 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 539,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,218) x common factors =1 x 1 = 1
LCM(539,218) = ( 539 × 218 ) / 1
LCM(539,218) = 117502 / 1
LCM(539,218) = 117502
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FAQs on GCF of Fractions of 169/539, 9367/218
1. What is the HCF of 169,9367?
The HCF of 169,9367 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 169/539, 9367/218?
Answer: GCF of Numerators as per given numbers 169/539, 9367/218 is
GCF of Numerators i.e. for 169,9367 is 1
LCM of denominators i.e. for 539,218 is 117502.
Thus, GCF of Fractions is 1/117502.Finally, GCF of Fractions for 169/539, 9367/218 is 1/117502.