GCF of 8620/511, 9549/8084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8620/511, 9549/8084 i.e 1/4130924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8620/511, 9549/8084.
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 8620/511,9549/8084?
Given fractions are 8620/511,9549/8084
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 8620/511,9549/8084, numerators are 8620,9549
Denominators are 511,8084
The GCF of 8620,9549 is 1 .
LCM of 511,8084 is 4130924.
The greatest common factor of 8620/511,9549/8084 = [GCF of 8620,9549]/[LCM of 511,8084]= 1/4130924
Therefore, the GCF of 8620/511,9549/8084 is 1/4130924.
To find the highest common factor of 8620,9549, we have to find the factors of both numbers and list the highest common factor.
The factors of 8620 are 1, 2, 4, 5, 10, 20, 431, 862, 1724, 2155, 4310, 8620
The factors of 9549 are 1, 3, 9, 1061, 3183, 9549
The HCF of 8620,9549 is 1.
Lets's calculate GCF of 8620,9549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8620,9549 By Matching Biggest Common Factor Method
Now, list down the factors of 8620
:1,2,4,5,10,20,431,862,1724,2155,4310,8620
Now, list down the factors of 9549
:1,3,9,1061,3183,9549
Greatest Common Factor
We found the factors 8620,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 8620,9549 is 1.
Lets's calculate LCM of 511,8084
Given numbers has no common factors except 1. So, there LCM is their product i.e 4130924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4130924
Therefore, the GCF of Fractions 8620/511,9549/8084 is 1/4130924
Least Common Multiple of 511,8084 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 511,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,8084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,8084) x common factors =1 x 1 = 1
LCM(511,8084) = ( 511 × 8084 ) / 1
LCM(511,8084) = 4130924 / 1
LCM(511,8084) = 4130924
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FAQs on GCF of Fractions of 8620/511, 9549/8084
1. What is the HCF of 8620,9549?
The HCF of 8620,9549 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 8620/511, 9549/8084?
Answer: GCF of Numerators as per given numbers 8620/511, 9549/8084 is
GCF of Numerators i.e. for 8620,9549 is 1
LCM of denominators i.e. for 511,8084 is 4130924.
Thus, GCF of Fractions is 1/4130924.Finally, GCF of Fractions for 8620/511, 9549/8084 is 1/4130924.