GCF of 2368/136, 1663/2429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2368/136, 1663/2429 i.e 1/330344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2368/136, 1663/2429.
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 2368/136,1663/2429?
Given fractions are 2368/136,1663/2429
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 2368/136,1663/2429, numerators are 2368,1663
Denominators are 136,2429
The GCF of 2368,1663 is 1 .
LCM of 136,2429 is 330344.
The greatest common factor of 2368/136,1663/2429 = [GCF of 2368,1663]/[LCM of 136,2429]= 1/330344
Therefore, the GCF of 2368/136,1663/2429 is 1/330344.
To find the highest common factor of 2368,1663, we have to find the factors of both numbers and list the highest common factor.
The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
The factors of 1663 are 1, 1663
The HCF of 2368,1663 is 1.
Lets's calculate GCF of 2368,1663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2368,1663 By Matching Biggest Common Factor Method
Now, list down the factors of 2368
:1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Now, list down the factors of 1663
:1,1663
Greatest Common Factor
We found the factors 2368,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,1663 is 1.
Lets's calculate LCM of 136,2429
Given numbers has no common factors except 1. So, there LCM is their product i.e 330344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330344
Therefore, the GCF of Fractions 2368/136,1663/2429 is 1/330344
Least Common Multiple of 136,2429 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 136,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,2429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,2429) x common factors =1 x 1 = 1
LCM(136,2429) = ( 136 × 2429 ) / 1
LCM(136,2429) = 330344 / 1
LCM(136,2429) = 330344
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FAQs on GCF of Fractions of 2368/136, 1663/2429
1. What is the HCF of 2368,1663?
The HCF of 2368,1663 is 1
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 2368/136, 1663/2429?
Answer: GCF of Numerators as per given numbers 2368/136, 1663/2429 is
GCF of Numerators i.e. for 2368,1663 is 1
LCM of denominators i.e. for 136,2429 is 330344.
Thus, GCF of Fractions is 1/330344.Finally, GCF of Fractions for 2368/136, 1663/2429 is 1/330344.