GCF of 7433/754, 1632/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7433/754, 1632/5205 i.e 1/3924570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7433/754, 1632/5205.
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 7433/754,1632/5205?
Given fractions are 7433/754,1632/5205
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 7433/754,1632/5205, numerators are 7433,1632
Denominators are 754,5205
The GCF of 7433,1632 is 1 .
LCM of 754,5205 is 3924570.
The greatest common factor of 7433/754,1632/5205 = [GCF of 7433,1632]/[LCM of 754,5205]= 1/3924570
Therefore, the GCF of 7433/754,1632/5205 is 1/3924570.
To find the highest common factor of 7433,1632, we have to find the factors of both numbers and list the highest common factor.
The factors of 7433 are 1, 7433
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632
The HCF of 7433,1632 is 1.
Lets's calculate GCF of 7433,1632
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7433,1632 By Matching Biggest Common Factor Method
Now, list down the factors of 7433
:1,7433
Now, list down the factors of 1632
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632
Greatest Common Factor
We found the factors 7433,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 7433,1632 is 1.
Lets's calculate LCM of 754,5205
Given numbers has no common factors except 1. So, there LCM is their product i.e 3924570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3924570
Therefore, the GCF of Fractions 7433/754,1632/5205 is 1/3924570
Least Common Multiple of 754,5205 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 754,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,5205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,5205) x common factors =1 x 1 = 1
LCM(754,5205) = ( 754 × 5205 ) / 1
LCM(754,5205) = 3924570 / 1
LCM(754,5205) = 3924570
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FAQs on GCF of Fractions of 7433/754, 1632/5205
1. What is the HCF of 7433,1632?
The HCF of 7433,1632 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 7433/754, 1632/5205?
Answer: GCF of Numerators as per given numbers 7433/754, 1632/5205 is
GCF of Numerators i.e. for 7433,1632 is 1
LCM of denominators i.e. for 754,5205 is 3924570.
Thus, GCF of Fractions is 1/3924570.Finally, GCF of Fractions for 7433/754, 1632/5205 is 1/3924570.