GCF of 423/448, 9825/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 423/448, 9825/206 i.e 3/46144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/448, 9825/206.
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 423/448,9825/206?
Given fractions are 423/448,9825/206
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 423/448,9825/206, numerators are 423,9825
Denominators are 448,206
The GCF of 423,9825 is 3 .
LCM of 448,206 is 46144.
The greatest common factor of 423/448,9825/206 = [GCF of 423,9825]/[LCM of 448,206]= 3/46144
Therefore, the GCF of 423/448,9825/206 is 3/46144.
To find the highest common factor of 423,9825, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The HCF of 423,9825 is 3.
Lets's calculate GCF of 423,9825
| 3 | 423, 9825 |
| 141, 3275 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 423,9825 By Matching Biggest Common Factor Method
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors 423,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 423,9825 is 3.
Lets's calculate LCM of 448,206
| 2 | 448, 206 |
| 224, 103 |
∴ So the LCM of the given numbers is 2 x 224 x 103 = 46144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46144
Therefore, the GCF of Fractions 423/448,9825/206 is 3/46144
Least Common Multiple of 448,206 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 448,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(448,206) x common factors =2 x 1 = 2
LCM(448,206) = ( 448 × 206 ) / 2
LCM(448,206) = 92288 / 2
LCM(448,206) = 46144
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FAQs on GCF of Fractions of 423/448, 9825/206
1. What is the HCF of 423,9825?
The HCF of 423,9825 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 423/448, 9825/206?
Answer: GCF of Numerators as per given numbers 423/448, 9825/206 is
GCF of Numerators i.e. for 423,9825 is 3
LCM of denominators i.e. for 448,206 is 46144.
Thus, GCF of Fractions is 3/46144.Finally, GCF of Fractions for 423/448, 9825/206 is 3/46144.