GCF of 1536/401, 2388/1571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1536/401, 2388/1571 i.e 12/629971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1536/401, 2388/1571.
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 1536/401,2388/1571?
Given fractions are 1536/401,2388/1571
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 1536/401,2388/1571, numerators are 1536,2388
Denominators are 401,1571
The GCF of 1536,2388 is 12 .
LCM of 401,1571 is 629971.
The greatest common factor of 1536/401,2388/1571 = [GCF of 1536,2388]/[LCM of 401,1571]= 12/629971
Therefore, the GCF of 1536/401,2388/1571 is 12/629971.
To find the highest common factor of 1536,2388, we have to find the factors of both numbers and list the highest common factor.
The factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The HCF of 1536,2388 is 12.
Lets's calculate GCF of 1536,2388
| 2 | 1536, 2388 |
| 2 | 768, 1194 |
| 3 | 384, 597 |
| 128, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1536,2388 By Matching Biggest Common Factor Method
Now, list down the factors of 1536
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Greatest Common Factor
We found the factors 1536,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,2388 is 12.
Lets's calculate LCM of 401,1571
Given numbers has no common factors except 1. So, there LCM is their product i.e 629971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/629971
Therefore, the GCF of Fractions 1536/401,2388/1571 is 12/629971
Least Common Multiple of 401,1571 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 401,1571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,1571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,1571) x common factors =1 x 1 = 1
LCM(401,1571) = ( 401 × 1571 ) / 1
LCM(401,1571) = 629971 / 1
LCM(401,1571) = 629971
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FAQs on GCF of Fractions of 1536/401, 2388/1571
1. What is the HCF of 1536,2388?
The HCF of 1536,2388 is 12
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 1536/401, 2388/1571?
Answer: GCF of Numerators as per given numbers 1536/401, 2388/1571 is
GCF of Numerators i.e. for 1536,2388 is 12
LCM of denominators i.e. for 401,1571 is 629971.
Thus, GCF of Fractions is 12/629971.Finally, GCF of Fractions for 1536/401, 2388/1571 is 12/629971.