GCF of 6321/545, 8301/6455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6321/545, 8301/6455 i.e 3/703595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6321/545, 8301/6455.
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 6321/545,8301/6455?
Given fractions are 6321/545,8301/6455
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 6321/545,8301/6455, numerators are 6321,8301
Denominators are 545,6455
The GCF of 6321,8301 is 3 .
LCM of 545,6455 is 703595.
The greatest common factor of 6321/545,8301/6455 = [GCF of 6321,8301]/[LCM of 545,6455]= 3/703595
Therefore, the GCF of 6321/545,8301/6455 is 3/703595.
To find the highest common factor of 6321,8301, we have to find the factors of both numbers and list the highest common factor.
The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
The factors of 8301 are 1, 3, 2767, 8301
The HCF of 6321,8301 is 3.
Lets's calculate GCF of 6321,8301
| 3 | 6321, 8301 |
| 2107, 2767 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6321,8301 By Matching Biggest Common Factor Method
Now, list down the factors of 6321
:1,3,7,21,43,49,129,147,301,903,2107,6321
Now, list down the factors of 8301
:1,3,2767,8301
Greatest Common Factor
We found the factors 6321,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 6321,8301 is 3.
Lets's calculate LCM of 545,6455
| 5 | 545, 6455 |
| 109, 1291 |
∴ So the LCM of the given numbers is 5 x 109 x 1291 = 703595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/703595
Therefore, the GCF of Fractions 6321/545,8301/6455 is 3/703595
Least Common Multiple of 545,6455 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 545,6455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,6455) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(545,6455) x common factors =5 x 1 = 5
LCM(545,6455) = ( 545 × 6455 ) / 5
LCM(545,6455) = 3517975 / 5
LCM(545,6455) = 703595
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FAQs on GCF of Fractions of 6321/545, 8301/6455
1. What is the HCF of 6321,8301?
The HCF of 6321,8301 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 6321/545, 8301/6455?
Answer: GCF of Numerators as per given numbers 6321/545, 8301/6455 is
GCF of Numerators i.e. for 6321,8301 is 3
LCM of denominators i.e. for 545,6455 is 703595.
Thus, GCF of Fractions is 3/703595.Finally, GCF of Fractions for 6321/545, 8301/6455 is 3/703595.