GCF of 7406/397, 5773/4519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7406/397, 5773/4519 i.e 23/1794043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7406/397, 5773/4519.
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 7406/397,5773/4519?
Given fractions are 7406/397,5773/4519
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 7406/397,5773/4519, numerators are 7406,5773
Denominators are 397,4519
The GCF of 7406,5773 is 23 .
LCM of 397,4519 is 1794043.
The greatest common factor of 7406/397,5773/4519 = [GCF of 7406,5773]/[LCM of 397,4519]= 23/1794043
Therefore, the GCF of 7406/397,5773/4519 is 23/1794043.
To find the highest common factor of 7406,5773, we have to find the factors of both numbers and list the highest common factor.
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The factors of 5773 are 1, 23, 251, 5773
The HCF of 7406,5773 is 23.
Lets's calculate GCF of 7406,5773
| 23 | 7406, 5773 |
| 322, 251 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 7406,5773 By Matching Biggest Common Factor Method
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Now, list down the factors of 5773
:1,23,251,5773
Greatest Common Factor
We found the factors 7406,5773 . The biggest common factor number is the GCF number.
So the greatest common factor 7406,5773 is 23.
Lets's calculate LCM of 397,4519
Given numbers has no common factors except 1. So, there LCM is their product i.e 1794043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1794043
Therefore, the GCF of Fractions 7406/397,5773/4519 is 23/1794043
Least Common Multiple of 397,4519 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 397,4519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,4519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,4519) x common factors =1 x 1 = 1
LCM(397,4519) = ( 397 × 4519 ) / 1
LCM(397,4519) = 1794043 / 1
LCM(397,4519) = 1794043
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FAQs on GCF of Fractions of 7406/397, 5773/4519
1. What is the HCF of 7406,5773?
The HCF of 7406,5773 is 23
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 7406/397, 5773/4519?
Answer: GCF of Numerators as per given numbers 7406/397, 5773/4519 is
GCF of Numerators i.e. for 7406,5773 is 23
LCM of denominators i.e. for 397,4519 is 1794043.
Thus, GCF of Fractions is 23/1794043.Finally, GCF of Fractions for 7406/397, 5773/4519 is 23/1794043.