GCF of 453/410, 822/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/410, 822/324 i.e 3/66420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/410, 822/324.
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 453/410,822/324?
Given fractions are 453/410,822/324
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 453/410,822/324, numerators are 453,822
Denominators are 410,324
The GCF of 453,822 is 3 .
LCM of 410,324 is 66420.
The greatest common factor of 453/410,822/324 = [GCF of 453,822]/[LCM of 410,324]= 3/66420
Therefore, the GCF of 453/410,822/324 is 3/66420.
To find the highest common factor of 453,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 453,822 is 3.
Lets's calculate GCF of 453,822
| 3 | 453, 822 |
| 151, 274 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 453,822 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 453,822 . The biggest common factor number is the GCF number.
So the greatest common factor 453,822 is 3.
Lets's calculate LCM of 410,324
| 2 | 410, 324 |
| 205, 162 |
∴ So the LCM of the given numbers is 2 x 205 x 162 = 66420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66420
Therefore, the GCF of Fractions 453/410,822/324 is 3/66420
Least Common Multiple of 410,324 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 410,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,324) x common factors =2 x 1 = 2
LCM(410,324) = ( 410 × 324 ) / 2
LCM(410,324) = 132840 / 2
LCM(410,324) = 66420
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FAQs on GCF of Fractions of 453/410, 822/324
1. What is the HCF of 453,822?
The HCF of 453,822 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 453/410, 822/324?
Answer: GCF of Numerators as per given numbers 453/410, 822/324 is
GCF of Numerators i.e. for 453,822 is 3
LCM of denominators i.e. for 410,324 is 66420.
Thus, GCF of Fractions is 3/66420.Finally, GCF of Fractions for 453/410, 822/324 is 3/66420.