GCF of 8549/354, 9076/9086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8549/354, 9076/9086 i.e 1/27258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8549/354, 9076/9086.
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 8549/354,9076/9086?
Given fractions are 8549/354,9076/9086
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 8549/354,9076/9086, numerators are 8549,9076
Denominators are 354,9086
The GCF of 8549,9076 is 1 .
LCM of 354,9086 is 27258.
The greatest common factor of 8549/354,9076/9086 = [GCF of 8549,9076]/[LCM of 354,9086]= 1/27258
Therefore, the GCF of 8549/354,9076/9086 is 1/27258.
To find the highest common factor of 8549,9076, we have to find the factors of both numbers and list the highest common factor.
The factors of 8549 are 1, 83, 103, 8549
The factors of 9076 are 1, 2, 4, 2269, 4538, 9076
The HCF of 8549,9076 is 1.
Lets's calculate GCF of 8549,9076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8549,9076 By Matching Biggest Common Factor Method
Now, list down the factors of 8549
:1,83,103,8549
Now, list down the factors of 9076
:1,2,4,2269,4538,9076
Greatest Common Factor
We found the factors 8549,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 8549,9076 is 1.
Lets's calculate LCM of 354,9086
| 2 | 354, 9086 |
| 59 | 177, 4543 |
| 3, 77 |
∴ So the LCM of the given numbers is 2 x 59 x 3 x 77 = 27258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27258
Therefore, the GCF of Fractions 8549/354,9076/9086 is 1/27258
Least Common Multiple of 354,9086 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 354,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,9086) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(354,9086) x common factors =118 x 1 = 118
LCM(354,9086) = ( 354 × 9086 ) / 118
LCM(354,9086) = 3216444 / 118
LCM(354,9086) = 27258
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FAQs on GCF of Fractions of 8549/354, 9076/9086
1. What is the HCF of 8549,9076?
The HCF of 8549,9076 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 8549/354, 9076/9086?
Answer: GCF of Numerators as per given numbers 8549/354, 9076/9086 is
GCF of Numerators i.e. for 8549,9076 is 1
LCM of denominators i.e. for 354,9086 is 27258.
Thus, GCF of Fractions is 1/27258.Finally, GCF of Fractions for 8549/354, 9076/9086 is 1/27258.