GCF of 2404/458, 1202/3252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2404/458, 1202/3252 i.e 1202/744708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2404/458, 1202/3252.
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 2404/458,1202/3252?
Given fractions are 2404/458,1202/3252
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 2404/458,1202/3252, numerators are 2404,1202
Denominators are 458,3252
The GCF of 2404,1202 is 1202 .
LCM of 458,3252 is 744708.
The greatest common factor of 2404/458,1202/3252 = [GCF of 2404,1202]/[LCM of 458,3252]= 1202/744708
Therefore, the GCF of 2404/458,1202/3252 is 1202/744708.
To find the highest common factor of 2404,1202, we have to find the factors of both numbers and list the highest common factor.
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The factors of 1202 are 1, 2, 601, 1202
The HCF of 2404,1202 is 1202.
Lets's calculate GCF of 2404,1202
| 2 | 2404, 1202 |
| 601 | 1202, 601 |
| 2, 1 |
∴ So the GCF of the given numbers is 2 x 601 = 1202
Greatest Common Factor of 2404,1202 By Matching Biggest Common Factor Method
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Now, list down the factors of 1202
:1,2,601,1202
Greatest Common Factor
We found the factors 2404,1202 . The biggest common factor number is the GCF number.
So the greatest common factor 2404,1202 is 1202.
Lets's calculate LCM of 458,3252
| 2 | 458, 3252 |
| 229, 1626 |
∴ So the LCM of the given numbers is 2 x 229 x 1626 = 744708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1202/744708
Therefore, the GCF of Fractions 2404/458,1202/3252 is 1202/744708
Least Common Multiple of 458,3252 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 458,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,3252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,3252) x common factors =2 x 1 = 2
LCM(458,3252) = ( 458 × 3252 ) / 2
LCM(458,3252) = 1489416 / 2
LCM(458,3252) = 744708
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FAQs on GCF of Fractions of 2404/458, 1202/3252
1. What is the HCF of 2404,1202?
The HCF of 2404,1202 is 1202
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 2404/458, 1202/3252?
Answer: GCF of Numerators as per given numbers 2404/458, 1202/3252 is
GCF of Numerators i.e. for 2404,1202 is 1202
LCM of denominators i.e. for 458,3252 is 744708.
Thus, GCF of Fractions is 1202/744708.Finally, GCF of Fractions for 2404/458, 1202/3252 is 1202/744708.