GCF of 64/19, 498/75, 406/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/19, 498/75, 406/464 i.e 2/661200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/19, 498/75, 406/464.
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 64/19,498/75,406/464?
Given fractions are 64/19,498/75,406/464
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 64/19,498/75,406/464, numerators are 64,498,406
Denominators are 19,75,464
The GCF of 64,498,406 is 2 .
LCM of 19,75,464 is 661200.
The greatest common factor of 64/19,498/75,406/464 = [GCF of 64,498,406]/[LCM of 19,75,464]= 2/661200
Therefore, the GCF of 64/19,498/75,406/464 is 2/661200.
To find the highest common factor of 64,498,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 64,498,406 is 2.
Lets's calculate GCF of 64,498,406
| 2 | 64, 498, 406 |
| 32, 249, 203 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 64,498,406 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 64,498,406 . The biggest common factor number is the GCF number.
So the greatest common factor 64,498,406 is 2.
Lets's calculate LCM of 19,75,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 661200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/661200
Therefore, the GCF of Fractions 64/19,498/75,406/464 is 2/661200
Least Common Multiple of 19,75,464 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 19,75,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,75,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,75,464) x common factors =1 x 1 = 1
LCM(19,75,464) = ( 19 × 75 × 464 ) / 1
LCM(19,75,464) = 661200 / 1
LCM(19,75,464) = 661200
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FAQs on GCF of Fractions of 64/19, 498/75, 406/464
1. What is the HCF of 64,498,406?
The HCF of 64,498,406 is 2
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 64/19, 498/75, 406/464?
Answer: GCF of Numerators as per given numbers 64/19, 498/75, 406/464 is
GCF of Numerators i.e. for 64,498,406 is 2
LCM of denominators i.e. for 19,75,464 is 661200.
Thus, GCF of Fractions is 2/661200.Finally, GCF of Fractions for 64/19, 498/75, 406/464 is 2/661200.