GCF of 4539/826, 8419/9145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4539/826, 8419/9145 i.e 1/128030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4539/826, 8419/9145.
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 4539/826,8419/9145?
Given fractions are 4539/826,8419/9145
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 4539/826,8419/9145, numerators are 4539,8419
Denominators are 826,9145
The GCF of 4539,8419 is 1 .
LCM of 826,9145 is 128030.
The greatest common factor of 4539/826,8419/9145 = [GCF of 4539,8419]/[LCM of 826,9145]= 1/128030
Therefore, the GCF of 4539/826,8419/9145 is 1/128030.
To find the highest common factor of 4539,8419, we have to find the factors of both numbers and list the highest common factor.
The factors of 4539 are 1, 3, 17, 51, 89, 267, 1513, 4539
The factors of 8419 are 1, 8419
The HCF of 4539,8419 is 1.
Lets's calculate GCF of 4539,8419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4539,8419 By Matching Biggest Common Factor Method
Now, list down the factors of 4539
:1,3,17,51,89,267,1513,4539
Now, list down the factors of 8419
:1,8419
Greatest Common Factor
We found the factors 4539,8419 . The biggest common factor number is the GCF number.
So the greatest common factor 4539,8419 is 1.
Lets's calculate LCM of 826,9145
| 59 | 826, 9145 |
| 14, 155 |
∴ So the LCM of the given numbers is 59 x 14 x 155 = 128030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128030
Therefore, the GCF of Fractions 4539/826,8419/9145 is 1/128030
Least Common Multiple of 826,9145 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 826,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,9145) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(826,9145) x common factors =59 x 1 = 59
LCM(826,9145) = ( 826 × 9145 ) / 59
LCM(826,9145) = 7553770 / 59
LCM(826,9145) = 128030
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FAQs on GCF of Fractions of 4539/826, 8419/9145
1. What is the HCF of 4539,8419?
The HCF of 4539,8419 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 4539/826, 8419/9145?
Answer: GCF of Numerators as per given numbers 4539/826, 8419/9145 is
GCF of Numerators i.e. for 4539,8419 is 1
LCM of denominators i.e. for 826,9145 is 128030.
Thus, GCF of Fractions is 1/128030.Finally, GCF of Fractions for 4539/826, 8419/9145 is 1/128030.