GCF of 6741/821, 3579/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6741/821, 3579/644 i.e 3/528724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6741/821, 3579/644.
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 6741/821,3579/644?
Given fractions are 6741/821,3579/644
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 6741/821,3579/644, numerators are 6741,3579
Denominators are 821,644
The GCF of 6741,3579 is 3 .
LCM of 821,644 is 528724.
The greatest common factor of 6741/821,3579/644 = [GCF of 6741,3579]/[LCM of 821,644]= 3/528724
Therefore, the GCF of 6741/821,3579/644 is 3/528724.
To find the highest common factor of 6741,3579, we have to find the factors of both numbers and list the highest common factor.
The factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
The factors of 3579 are 1, 3, 1193, 3579
The HCF of 6741,3579 is 3.
Lets's calculate GCF of 6741,3579
| 3 | 6741, 3579 |
| 2247, 1193 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6741,3579 By Matching Biggest Common Factor Method
Now, list down the factors of 6741
:1,3,7,9,21,63,107,321,749,963,2247,6741
Now, list down the factors of 3579
:1,3,1193,3579
Greatest Common Factor
We found the factors 6741,3579 . The biggest common factor number is the GCF number.
So the greatest common factor 6741,3579 is 3.
Lets's calculate LCM of 821,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 528724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/528724
Therefore, the GCF of Fractions 6741/821,3579/644 is 3/528724
Least Common Multiple of 821,644 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 821,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,644) x common factors =1 x 1 = 1
LCM(821,644) = ( 821 × 644 ) / 1
LCM(821,644) = 528724 / 1
LCM(821,644) = 528724
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FAQs on GCF of Fractions of 6741/821, 3579/644
1. What is the HCF of 6741,3579?
The HCF of 6741,3579 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 6741/821, 3579/644?
Answer: GCF of Numerators as per given numbers 6741/821, 3579/644 is
GCF of Numerators i.e. for 6741,3579 is 3
LCM of denominators i.e. for 821,644 is 528724.
Thus, GCF of Fractions is 3/528724.Finally, GCF of Fractions for 6741/821, 3579/644 is 3/528724.