GCF of 8036/587, 7848/832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8036/587, 7848/832 i.e 4/488384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8036/587, 7848/832.
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 8036/587,7848/832?
Given fractions are 8036/587,7848/832
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 8036/587,7848/832, numerators are 8036,7848
Denominators are 587,832
The GCF of 8036,7848 is 4 .
LCM of 587,832 is 488384.
The greatest common factor of 8036/587,7848/832 = [GCF of 8036,7848]/[LCM of 587,832]= 4/488384
Therefore, the GCF of 8036/587,7848/832 is 4/488384.
To find the highest common factor of 8036,7848, we have to find the factors of both numbers and list the highest common factor.
The factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The HCF of 8036,7848 is 4.
Lets's calculate GCF of 8036,7848
| 2 | 8036, 7848 |
| 2 | 4018, 3924 |
| 2009, 1962 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8036,7848 By Matching Biggest Common Factor Method
Now, list down the factors of 8036
:1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors 8036,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 8036,7848 is 4.
Lets's calculate LCM of 587,832
Given numbers has no common factors except 1. So, there LCM is their product i.e 488384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/488384
Therefore, the GCF of Fractions 8036/587,7848/832 is 4/488384
Least Common Multiple of 587,832 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 587,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,832) x common factors =1 x 1 = 1
LCM(587,832) = ( 587 × 832 ) / 1
LCM(587,832) = 488384 / 1
LCM(587,832) = 488384
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FAQs on GCF of Fractions of 8036/587, 7848/832
1. What is the HCF of 8036,7848?
The HCF of 8036,7848 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 8036/587, 7848/832?
Answer: GCF of Numerators as per given numbers 8036/587, 7848/832 is
GCF of Numerators i.e. for 8036,7848 is 4
LCM of denominators i.e. for 587,832 is 488384.
Thus, GCF of Fractions is 4/488384.Finally, GCF of Fractions for 8036/587, 7848/832 is 4/488384.