GCF of 6032/432, 4179/6511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6032/432, 4179/6511 i.e 1/2812752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6032/432, 4179/6511.
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 6032/432,4179/6511?
Given fractions are 6032/432,4179/6511
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 6032/432,4179/6511, numerators are 6032,4179
Denominators are 432,6511
The GCF of 6032,4179 is 1 .
LCM of 432,6511 is 2812752.
The greatest common factor of 6032/432,4179/6511 = [GCF of 6032,4179]/[LCM of 432,6511]= 1/2812752
Therefore, the GCF of 6032/432,4179/6511 is 1/2812752.
To find the highest common factor of 6032,4179, 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 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179
The HCF of 6032,4179 is 1.
Lets's calculate GCF of 6032,4179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6032,4179 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 4179
:1,3,7,21,199,597,1393,4179
Greatest Common Factor
We found the factors 6032,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 6032,4179 is 1.
Lets's calculate LCM of 432,6511
Given numbers has no common factors except 1. So, there LCM is their product i.e 2812752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2812752
Therefore, the GCF of Fractions 6032/432,4179/6511 is 1/2812752
Least Common Multiple of 432,6511 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 432,6511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,6511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,6511) x common factors =1 x 1 = 1
LCM(432,6511) = ( 432 × 6511 ) / 1
LCM(432,6511) = 2812752 / 1
LCM(432,6511) = 2812752
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FAQs on GCF of Fractions of 6032/432, 4179/6511
1. What is the HCF of 6032,4179?
The HCF of 6032,4179 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 6032/432, 4179/6511?
Answer: GCF of Numerators as per given numbers 6032/432, 4179/6511 is
GCF of Numerators i.e. for 6032,4179 is 1
LCM of denominators i.e. for 432,6511 is 2812752.
Thus, GCF of Fractions is 1/2812752.Finally, GCF of Fractions for 6032/432, 4179/6511 is 1/2812752.