GCF of 8561/415, 9320/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8561/415, 9320/543 i.e 1/225345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8561/415, 9320/543.
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 8561/415,9320/543?
Given fractions are 8561/415,9320/543
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 8561/415,9320/543, numerators are 8561,9320
Denominators are 415,543
The GCF of 8561,9320 is 1 .
LCM of 415,543 is 225345.
The greatest common factor of 8561/415,9320/543 = [GCF of 8561,9320]/[LCM of 415,543]= 1/225345
Therefore, the GCF of 8561/415,9320/543 is 1/225345.
To find the highest common factor of 8561,9320, we have to find the factors of both numbers and list the highest common factor.
The factors of 8561 are 1, 7, 1223, 8561
The factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320
The HCF of 8561,9320 is 1.
Lets's calculate GCF of 8561,9320
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8561,9320 By Matching Biggest Common Factor Method
Now, list down the factors of 8561
:1,7,1223,8561
Now, list down the factors of 9320
:1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320
Greatest Common Factor
We found the factors 8561,9320 . The biggest common factor number is the GCF number.
So the greatest common factor 8561,9320 is 1.
Lets's calculate LCM of 415,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 225345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225345
Therefore, the GCF of Fractions 8561/415,9320/543 is 1/225345
Least Common Multiple of 415,543 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 415,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,543) x common factors =1 x 1 = 1
LCM(415,543) = ( 415 × 543 ) / 1
LCM(415,543) = 225345 / 1
LCM(415,543) = 225345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8561/415, 9320/543
1. What is the HCF of 8561,9320?
The HCF of 8561,9320 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 8561/415, 9320/543?
Answer: GCF of Numerators as per given numbers 8561/415, 9320/543 is
GCF of Numerators i.e. for 8561,9320 is 1
LCM of denominators i.e. for 415,543 is 225345.
Thus, GCF of Fractions is 1/225345.Finally, GCF of Fractions for 8561/415, 9320/543 is 1/225345.