GCF of 6480/744, 6261/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6480/744, 6261/866 i.e 3/322152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6480/744, 6261/866.
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 6480/744,6261/866?
Given fractions are 6480/744,6261/866
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 6480/744,6261/866, numerators are 6480,6261
Denominators are 744,866
The GCF of 6480,6261 is 3 .
LCM of 744,866 is 322152.
The greatest common factor of 6480/744,6261/866 = [GCF of 6480,6261]/[LCM of 744,866]= 3/322152
Therefore, the GCF of 6480/744,6261/866 is 3/322152.
To find the highest common factor of 6480,6261, we have to find the factors of both numbers and list the highest common factor.
The factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480
The factors of 6261 are 1, 3, 2087, 6261
The HCF of 6480,6261 is 3.
Lets's calculate GCF of 6480,6261
| 3 | 6480, 6261 |
| 2160, 2087 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6480,6261 By Matching Biggest Common Factor Method
Now, list down the factors of 6480
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480
Now, list down the factors of 6261
:1,3,2087,6261
Greatest Common Factor
We found the factors 6480,6261 . The biggest common factor number is the GCF number.
So the greatest common factor 6480,6261 is 3.
Lets's calculate LCM of 744,866
| 2 | 744, 866 |
| 372, 433 |
∴ So the LCM of the given numbers is 2 x 372 x 433 = 322152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/322152
Therefore, the GCF of Fractions 6480/744,6261/866 is 3/322152
Least Common Multiple of 744,866 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 744,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,866) x common factors =2 x 1 = 2
LCM(744,866) = ( 744 × 866 ) / 2
LCM(744,866) = 644304 / 2
LCM(744,866) = 322152
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FAQs on GCF of Fractions of 6480/744, 6261/866
1. What is the HCF of 6480,6261?
The HCF of 6480,6261 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 6480/744, 6261/866?
Answer: GCF of Numerators as per given numbers 6480/744, 6261/866 is
GCF of Numerators i.e. for 6480,6261 is 3
LCM of denominators i.e. for 744,866 is 322152.
Thus, GCF of Fractions is 3/322152.Finally, GCF of Fractions for 6480/744, 6261/866 is 3/322152.