GCF of 6833/432, 3132/8809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6833/432, 3132/8809 i.e 1/3805488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6833/432, 3132/8809.
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 6833/432,3132/8809?
Given fractions are 6833/432,3132/8809
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 6833/432,3132/8809, numerators are 6833,3132
Denominators are 432,8809
The GCF of 6833,3132 is 1 .
LCM of 432,8809 is 3805488.
The greatest common factor of 6833/432,3132/8809 = [GCF of 6833,3132]/[LCM of 432,8809]= 1/3805488
Therefore, the GCF of 6833/432,3132/8809 is 1/3805488.
To find the highest common factor of 6833,3132, we have to find the factors of both numbers and list the highest common factor.
The factors of 6833 are 1, 6833
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The HCF of 6833,3132 is 1.
Lets's calculate GCF of 6833,3132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6833,3132 By Matching Biggest Common Factor Method
Now, list down the factors of 6833
:1,6833
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Greatest Common Factor
We found the factors 6833,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 6833,3132 is 1.
Lets's calculate LCM of 432,8809
Given numbers has no common factors except 1. So, there LCM is their product i.e 3805488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3805488
Therefore, the GCF of Fractions 6833/432,3132/8809 is 1/3805488
Least Common Multiple of 432,8809 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 432,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,8809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,8809) x common factors =1 x 1 = 1
LCM(432,8809) = ( 432 × 8809 ) / 1
LCM(432,8809) = 3805488 / 1
LCM(432,8809) = 3805488
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FAQs on GCF of Fractions of 6833/432, 3132/8809
1. What is the HCF of 6833,3132?
The HCF of 6833,3132 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 6833/432, 3132/8809?
Answer: GCF of Numerators as per given numbers 6833/432, 3132/8809 is
GCF of Numerators i.e. for 6833,3132 is 1
LCM of denominators i.e. for 432,8809 is 3805488.
Thus, GCF of Fractions is 1/3805488.Finally, GCF of Fractions for 6833/432, 3132/8809 is 1/3805488.