GCF of 8169/852, 9544/1913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8169/852, 9544/1913 i.e 1/1629876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8169/852, 9544/1913.
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 8169/852,9544/1913?
Given fractions are 8169/852,9544/1913
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 8169/852,9544/1913, numerators are 8169,9544
Denominators are 852,1913
The GCF of 8169,9544 is 1 .
LCM of 852,1913 is 1629876.
The greatest common factor of 8169/852,9544/1913 = [GCF of 8169,9544]/[LCM of 852,1913]= 1/1629876
Therefore, the GCF of 8169/852,9544/1913 is 1/1629876.
To find the highest common factor of 8169,9544, we have to find the factors of both numbers and list the highest common factor.
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544
The HCF of 8169,9544 is 1.
Lets's calculate GCF of 8169,9544
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8169,9544 By Matching Biggest Common Factor Method
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Now, list down the factors of 9544
:1,2,4,8,1193,2386,4772,9544
Greatest Common Factor
We found the factors 8169,9544 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,9544 is 1.
Lets's calculate LCM of 852,1913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1629876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1629876
Therefore, the GCF of Fractions 8169/852,9544/1913 is 1/1629876
Least Common Multiple of 852,1913 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 852,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,1913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,1913) x common factors =1 x 1 = 1
LCM(852,1913) = ( 852 × 1913 ) / 1
LCM(852,1913) = 1629876 / 1
LCM(852,1913) = 1629876
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FAQs on GCF of Fractions of 8169/852, 9544/1913
1. What is the HCF of 8169,9544?
The HCF of 8169,9544 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 8169/852, 9544/1913?
Answer: GCF of Numerators as per given numbers 8169/852, 9544/1913 is
GCF of Numerators i.e. for 8169,9544 is 1
LCM of denominators i.e. for 852,1913 is 1629876.
Thus, GCF of Fractions is 1/1629876.Finally, GCF of Fractions for 8169/852, 9544/1913 is 1/1629876.