GCF of 411/36, 822/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 411/36, 822/561 i.e 411/6732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/36, 822/561.
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 411/36,822/561?
Given fractions are 411/36,822/561
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 411/36,822/561, numerators are 411,822
Denominators are 36,561
The GCF of 411,822 is 411 .
LCM of 36,561 is 6732.
The greatest common factor of 411/36,822/561 = [GCF of 411,822]/[LCM of 36,561]= 411/6732
Therefore, the GCF of 411/36,822/561 is 411/6732.
To find the highest common factor of 411,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 411,822 is 411.
Lets's calculate GCF of 411,822
| 3 | 411, 822 |
| 137 | 137, 274 |
| 1, 2 |
∴ So the GCF of the given numbers is 3 x 137 = 411
Greatest Common Factor of 411,822 By Matching Biggest Common Factor Method
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 411,822 . The biggest common factor number is the GCF number.
So the greatest common factor 411,822 is 411.
Lets's calculate LCM of 36,561
| 3 | 36, 561 |
| 12, 187 |
∴ So the LCM of the given numbers is 3 x 12 x 187 = 6732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 411/6732
Therefore, the GCF of Fractions 411/36,822/561 is 411/6732
Least Common Multiple of 36,561 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 36,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(36,561) x common factors =3 x 1 = 3
LCM(36,561) = ( 36 × 561 ) / 3
LCM(36,561) = 20196 / 3
LCM(36,561) = 6732
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FAQs on GCF of Fractions of 411/36, 822/561
1. What is the HCF of 411,822?
The HCF of 411,822 is 411
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 411/36, 822/561?
Answer: GCF of Numerators as per given numbers 411/36, 822/561 is
GCF of Numerators i.e. for 411,822 is 411
LCM of denominators i.e. for 36,561 is 6732.
Thus, GCF of Fractions is 411/6732.Finally, GCF of Fractions for 411/36, 822/561 is 411/6732.