GCF of 2442/353, 3423/8153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2442/353, 3423/8153 i.e 3/2878009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2442/353, 3423/8153.
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 2442/353,3423/8153?
Given fractions are 2442/353,3423/8153
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 2442/353,3423/8153, numerators are 2442,3423
Denominators are 353,8153
The GCF of 2442,3423 is 3 .
LCM of 353,8153 is 2878009.
The greatest common factor of 2442/353,3423/8153 = [GCF of 2442,3423]/[LCM of 353,8153]= 3/2878009
Therefore, the GCF of 2442/353,3423/8153 is 3/2878009.
To find the highest common factor of 2442,3423, we have to find the factors of both numbers and list the highest common factor.
The factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442
The factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423
The HCF of 2442,3423 is 3.
Lets's calculate GCF of 2442,3423
| 3 | 2442, 3423 |
| 814, 1141 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2442,3423 By Matching Biggest Common Factor Method
Now, list down the factors of 2442
:1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442
Now, list down the factors of 3423
:1,3,7,21,163,489,1141,3423
Greatest Common Factor
We found the factors 2442,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 2442,3423 is 3.
Lets's calculate LCM of 353,8153
Given numbers has no common factors except 1. So, there LCM is their product i.e 2878009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2878009
Therefore, the GCF of Fractions 2442/353,3423/8153 is 3/2878009
Least Common Multiple of 353,8153 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 353,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,8153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,8153) x common factors =1 x 1 = 1
LCM(353,8153) = ( 353 × 8153 ) / 1
LCM(353,8153) = 2878009 / 1
LCM(353,8153) = 2878009
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FAQs on GCF of Fractions of 2442/353, 3423/8153
1. What is the HCF of 2442,3423?
The HCF of 2442,3423 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 2442/353, 3423/8153?
Answer: GCF of Numerators as per given numbers 2442/353, 3423/8153 is
GCF of Numerators i.e. for 2442,3423 is 3
LCM of denominators i.e. for 353,8153 is 2878009.
Thus, GCF of Fractions is 3/2878009.Finally, GCF of Fractions for 2442/353, 3423/8153 is 3/2878009.