GCF of 6489/708, 8518/2391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6489/708, 8518/2391 i.e 1/564276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6489/708, 8518/2391.
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 6489/708,8518/2391?
Given fractions are 6489/708,8518/2391
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 6489/708,8518/2391, numerators are 6489,8518
Denominators are 708,2391
The GCF of 6489,8518 is 1 .
LCM of 708,2391 is 564276.
The greatest common factor of 6489/708,8518/2391 = [GCF of 6489,8518]/[LCM of 708,2391]= 1/564276
Therefore, the GCF of 6489/708,8518/2391 is 1/564276.
To find the highest common factor of 6489,8518, we have to find the factors of both numbers and list the highest common factor.
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The factors of 8518 are 1, 2, 4259, 8518
The HCF of 6489,8518 is 1.
Lets's calculate GCF of 6489,8518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6489,8518 By Matching Biggest Common Factor Method
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Now, list down the factors of 8518
:1,2,4259,8518
Greatest Common Factor
We found the factors 6489,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 6489,8518 is 1.
Lets's calculate LCM of 708,2391
| 3 | 708, 2391 |
| 236, 797 |
∴ So the LCM of the given numbers is 3 x 236 x 797 = 564276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564276
Therefore, the GCF of Fractions 6489/708,8518/2391 is 1/564276
Least Common Multiple of 708,2391 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 708,2391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,2391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,2391) x common factors =3 x 1 = 3
LCM(708,2391) = ( 708 × 2391 ) / 3
LCM(708,2391) = 1692828 / 3
LCM(708,2391) = 564276
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FAQs on GCF of Fractions of 6489/708, 8518/2391
1. What is the HCF of 6489,8518?
The HCF of 6489,8518 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 6489/708, 8518/2391?
Answer: GCF of Numerators as per given numbers 6489/708, 8518/2391 is
GCF of Numerators i.e. for 6489,8518 is 1
LCM of denominators i.e. for 708,2391 is 564276.
Thus, GCF of Fractions is 1/564276.Finally, GCF of Fractions for 6489/708, 8518/2391 is 1/564276.