GCF of 2547/163, 8259/9058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2547/163, 8259/9058 i.e 3/1476454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2547/163, 8259/9058.
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 2547/163,8259/9058?
Given fractions are 2547/163,8259/9058
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 2547/163,8259/9058, numerators are 2547,8259
Denominators are 163,9058
The GCF of 2547,8259 is 3 .
LCM of 163,9058 is 1476454.
The greatest common factor of 2547/163,8259/9058 = [GCF of 2547,8259]/[LCM of 163,9058]= 3/1476454
Therefore, the GCF of 2547/163,8259/9058 is 3/1476454.
To find the highest common factor of 2547,8259, we have to find the factors of both numbers and list the highest common factor.
The factors of 2547 are 1, 3, 9, 283, 849, 2547
The factors of 8259 are 1, 3, 2753, 8259
The HCF of 2547,8259 is 3.
Lets's calculate GCF of 2547,8259
| 3 | 2547, 8259 |
| 849, 2753 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2547,8259 By Matching Biggest Common Factor Method
Now, list down the factors of 2547
:1,3,9,283,849,2547
Now, list down the factors of 8259
:1,3,2753,8259
Greatest Common Factor
We found the factors 2547,8259 . The biggest common factor number is the GCF number.
So the greatest common factor 2547,8259 is 3.
Lets's calculate LCM of 163,9058
Given numbers has no common factors except 1. So, there LCM is their product i.e 1476454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1476454
Therefore, the GCF of Fractions 2547/163,8259/9058 is 3/1476454
Least Common Multiple of 163,9058 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 163,9058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,9058) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,9058) x common factors =1 x 1 = 1
LCM(163,9058) = ( 163 × 9058 ) / 1
LCM(163,9058) = 1476454 / 1
LCM(163,9058) = 1476454
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FAQs on GCF of Fractions of 2547/163, 8259/9058
1. What is the HCF of 2547,8259?
The HCF of 2547,8259 is 3
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 2547/163, 8259/9058?
Answer: GCF of Numerators as per given numbers 2547/163, 8259/9058 is
GCF of Numerators i.e. for 2547,8259 is 3
LCM of denominators i.e. for 163,9058 is 1476454.
Thus, GCF of Fractions is 3/1476454.Finally, GCF of Fractions for 2547/163, 8259/9058 is 3/1476454.