GCF of 6032/832, 8697/2151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6032/832, 8697/2151 i.e 13/1789632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6032/832, 8697/2151.
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 6032/832,8697/2151?
Given fractions are 6032/832,8697/2151
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 6032/832,8697/2151, numerators are 6032,8697
Denominators are 832,2151
The GCF of 6032,8697 is 13 .
LCM of 832,2151 is 1789632.
The greatest common factor of 6032/832,8697/2151 = [GCF of 6032,8697]/[LCM of 832,2151]= 13/1789632
Therefore, the GCF of 6032/832,8697/2151 is 13/1789632.
To find the highest common factor of 6032,8697, we have to find the factors of both numbers and list the highest common factor.
The factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032
The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697
The HCF of 6032,8697 is 13.
Lets's calculate GCF of 6032,8697
| 13 | 6032, 8697 |
| 464, 669 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6032,8697 By Matching Biggest Common Factor Method
Now, list down the factors of 6032
:1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032
Now, list down the factors of 8697
:1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 6032,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 6032,8697 is 13.
Lets's calculate LCM of 832,2151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1789632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1789632
Therefore, the GCF of Fractions 6032/832,8697/2151 is 13/1789632
Least Common Multiple of 832,2151 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 832,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,2151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,2151) x common factors =1 x 1 = 1
LCM(832,2151) = ( 832 × 2151 ) / 1
LCM(832,2151) = 1789632 / 1
LCM(832,2151) = 1789632
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FAQs on GCF of Fractions of 6032/832, 8697/2151
1. What is the HCF of 6032,8697?
The HCF of 6032,8697 is 13
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 6032/832, 8697/2151?
Answer: GCF of Numerators as per given numbers 6032/832, 8697/2151 is
GCF of Numerators i.e. for 6032,8697 is 13
LCM of denominators i.e. for 832,2151 is 1789632.
Thus, GCF of Fractions is 13/1789632.Finally, GCF of Fractions for 6032/832, 8697/2151 is 13/1789632.