GCF of 6729/658, 6549/8486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6729/658, 6549/8486 i.e 3/2791894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6729/658, 6549/8486.
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 6729/658,6549/8486?
Given fractions are 6729/658,6549/8486
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 6729/658,6549/8486, numerators are 6729,6549
Denominators are 658,8486
The GCF of 6729,6549 is 3 .
LCM of 658,8486 is 2791894.
The greatest common factor of 6729/658,6549/8486 = [GCF of 6729,6549]/[LCM of 658,8486]= 3/2791894
Therefore, the GCF of 6729/658,6549/8486 is 3/2791894.
To find the highest common factor of 6729,6549, we have to find the factors of both numbers and list the highest common factor.
The factors of 6729 are 1, 3, 2243, 6729
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The HCF of 6729,6549 is 3.
Lets's calculate GCF of 6729,6549
| 3 | 6729, 6549 |
| 2243, 2183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6729,6549 By Matching Biggest Common Factor Method
Now, list down the factors of 6729
:1,3,2243,6729
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Greatest Common Factor
We found the factors 6729,6549 . The biggest common factor number is the GCF number.
So the greatest common factor 6729,6549 is 3.
Lets's calculate LCM of 658,8486
| 2 | 658, 8486 |
| 329, 4243 |
∴ So the LCM of the given numbers is 2 x 329 x 4243 = 2791894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2791894
Therefore, the GCF of Fractions 6729/658,6549/8486 is 3/2791894
Least Common Multiple of 658,8486 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 658,8486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,8486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,8486) x common factors =2 x 1 = 2
LCM(658,8486) = ( 658 × 8486 ) / 2
LCM(658,8486) = 5583788 / 2
LCM(658,8486) = 2791894
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FAQs on GCF of Fractions of 6729/658, 6549/8486
1. What is the HCF of 6729,6549?
The HCF of 6729,6549 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 6729/658, 6549/8486?
Answer: GCF of Numerators as per given numbers 6729/658, 6549/8486 is
GCF of Numerators i.e. for 6729,6549 is 3
LCM of denominators i.e. for 658,8486 is 2791894.
Thus, GCF of Fractions is 3/2791894.Finally, GCF of Fractions for 6729/658, 6549/8486 is 3/2791894.