GCF of 2432/381, 4204/2407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2432/381, 4204/2407 i.e 4/917067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2432/381, 4204/2407.
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 2432/381,4204/2407?
Given fractions are 2432/381,4204/2407
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 2432/381,4204/2407, numerators are 2432,4204
Denominators are 381,2407
The GCF of 2432,4204 is 4 .
LCM of 381,2407 is 917067.
The greatest common factor of 2432/381,4204/2407 = [GCF of 2432,4204]/[LCM of 381,2407]= 4/917067
Therefore, the GCF of 2432/381,4204/2407 is 4/917067.
To find the highest common factor of 2432,4204, we have to find the factors of both numbers and list the highest common factor.
The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
The factors of 4204 are 1, 2, 4, 1051, 2102, 4204
The HCF of 2432,4204 is 4.
Lets's calculate GCF of 2432,4204
| 2 | 2432, 4204 |
| 2 | 1216, 2102 |
| 608, 1051 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2432,4204 By Matching Biggest Common Factor Method
Now, list down the factors of 2432
:1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Now, list down the factors of 4204
:1,2,4,1051,2102,4204
Greatest Common Factor
We found the factors 2432,4204 . The biggest common factor number is the GCF number.
So the greatest common factor 2432,4204 is 4.
Lets's calculate LCM of 381,2407
Given numbers has no common factors except 1. So, there LCM is their product i.e 917067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/917067
Therefore, the GCF of Fractions 2432/381,4204/2407 is 4/917067
Least Common Multiple of 381,2407 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 381,2407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,2407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,2407) x common factors =1 x 1 = 1
LCM(381,2407) = ( 381 × 2407 ) / 1
LCM(381,2407) = 917067 / 1
LCM(381,2407) = 917067
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FAQs on GCF of Fractions of 2432/381, 4204/2407
1. What is the HCF of 2432,4204?
The HCF of 2432,4204 is 4
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 2432/381, 4204/2407?
Answer: GCF of Numerators as per given numbers 2432/381, 4204/2407 is
GCF of Numerators i.e. for 2432,4204 is 4
LCM of denominators i.e. for 381,2407 is 917067.
Thus, GCF of Fractions is 4/917067.Finally, GCF of Fractions for 2432/381, 4204/2407 is 4/917067.