GCF of 8549/291, 6708/6498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8549/291, 6708/6498 i.e 1/630306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8549/291, 6708/6498.
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 8549/291,6708/6498?
Given fractions are 8549/291,6708/6498
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 8549/291,6708/6498, numerators are 8549,6708
Denominators are 291,6498
The GCF of 8549,6708 is 1 .
LCM of 291,6498 is 630306.
The greatest common factor of 8549/291,6708/6498 = [GCF of 8549,6708]/[LCM of 291,6498]= 1/630306
Therefore, the GCF of 8549/291,6708/6498 is 1/630306.
To find the highest common factor of 8549,6708, 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 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The HCF of 8549,6708 is 1.
Lets's calculate GCF of 8549,6708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8549,6708 By Matching Biggest Common Factor Method
Now, list down the factors of 8549
:1,83,103,8549
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Greatest Common Factor
We found the factors 8549,6708 . The biggest common factor number is the GCF number.
So the greatest common factor 8549,6708 is 1.
Lets's calculate LCM of 291,6498
| 3 | 291, 6498 |
| 97, 2166 |
∴ So the LCM of the given numbers is 3 x 97 x 2166 = 630306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630306
Therefore, the GCF of Fractions 8549/291,6708/6498 is 1/630306
Least Common Multiple of 291,6498 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 291,6498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,6498) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,6498) x common factors =3 x 1 = 3
LCM(291,6498) = ( 291 × 6498 ) / 3
LCM(291,6498) = 1890918 / 3
LCM(291,6498) = 630306
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FAQs on GCF of Fractions of 8549/291, 6708/6498
1. What is the HCF of 8549,6708?
The HCF of 8549,6708 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 8549/291, 6708/6498?
Answer: GCF of Numerators as per given numbers 8549/291, 6708/6498 is
GCF of Numerators i.e. for 8549,6708 is 1
LCM of denominators i.e. for 291,6498 is 630306.
Thus, GCF of Fractions is 1/630306.Finally, GCF of Fractions for 8549/291, 6708/6498 is 1/630306.