GCF of 6546/590, 5439/8467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6546/590, 5439/8467 i.e 3/4995530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6546/590, 5439/8467.
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 6546/590,5439/8467?
Given fractions are 6546/590,5439/8467
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 6546/590,5439/8467, numerators are 6546,5439
Denominators are 590,8467
The GCF of 6546,5439 is 3 .
LCM of 590,8467 is 4995530.
The greatest common factor of 6546/590,5439/8467 = [GCF of 6546,5439]/[LCM of 590,8467]= 3/4995530
Therefore, the GCF of 6546/590,5439/8467 is 3/4995530.
To find the highest common factor of 6546,5439, we have to find the factors of both numbers and list the highest common factor.
The factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The HCF of 6546,5439 is 3.
Lets's calculate GCF of 6546,5439
| 3 | 6546, 5439 |
| 2182, 1813 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6546,5439 By Matching Biggest Common Factor Method
Now, list down the factors of 6546
:1,2,3,6,1091,2182,3273,6546
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Greatest Common Factor
We found the factors 6546,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 6546,5439 is 3.
Lets's calculate LCM of 590,8467
Given numbers has no common factors except 1. So, there LCM is their product i.e 4995530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4995530
Therefore, the GCF of Fractions 6546/590,5439/8467 is 3/4995530
Least Common Multiple of 590,8467 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 590,8467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,8467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,8467) x common factors =1 x 1 = 1
LCM(590,8467) = ( 590 × 8467 ) / 1
LCM(590,8467) = 4995530 / 1
LCM(590,8467) = 4995530
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FAQs on GCF of Fractions of 6546/590, 5439/8467
1. What is the HCF of 6546,5439?
The HCF of 6546,5439 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 6546/590, 5439/8467?
Answer: GCF of Numerators as per given numbers 6546/590, 5439/8467 is
GCF of Numerators i.e. for 6546,5439 is 3
LCM of denominators i.e. for 590,8467 is 4995530.
Thus, GCF of Fractions is 3/4995530.Finally, GCF of Fractions for 6546/590, 5439/8467 is 3/4995530.