GCF of 485/75, 407/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 485/75, 407/744 i.e 1/18600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/75, 407/744.
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 485/75,407/744?
Given fractions are 485/75,407/744
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 485/75,407/744, numerators are 485,407
Denominators are 75,744
The GCF of 485,407 is 1 .
LCM of 75,744 is 18600.
The greatest common factor of 485/75,407/744 = [GCF of 485,407]/[LCM of 75,744]= 1/18600
Therefore, the GCF of 485/75,407/744 is 1/18600.
To find the highest common factor of 485,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 407 are 1, 11, 37, 407
The HCF of 485,407 is 1.
Lets's calculate GCF of 485,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 485,407 By Matching Biggest Common Factor Method
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 485,407 . The biggest common factor number is the GCF number.
So the greatest common factor 485,407 is 1.
Lets's calculate LCM of 75,744
| 3 | 75, 744 |
| 25, 248 |
∴ So the LCM of the given numbers is 3 x 25 x 248 = 18600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18600
Therefore, the GCF of Fractions 485/75,407/744 is 1/18600
Least Common Multiple of 75,744 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 75,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,744) x common factors =3 x 1 = 3
LCM(75,744) = ( 75 × 744 ) / 3
LCM(75,744) = 55800 / 3
LCM(75,744) = 18600
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FAQs on GCF of Fractions of 485/75, 407/744
1. What is the HCF of 485,407?
The HCF of 485,407 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 485/75, 407/744?
Answer: GCF of Numerators as per given numbers 485/75, 407/744 is
GCF of Numerators i.e. for 485,407 is 1
LCM of denominators i.e. for 75,744 is 18600.
Thus, GCF of Fractions is 1/18600.Finally, GCF of Fractions for 485/75, 407/744 is 1/18600.