GCF of 3455/496, 9434/9142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3455/496, 9434/9142 i.e 1/2267216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3455/496, 9434/9142.
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 3455/496,9434/9142?
Given fractions are 3455/496,9434/9142
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 3455/496,9434/9142, numerators are 3455,9434
Denominators are 496,9142
The GCF of 3455,9434 is 1 .
LCM of 496,9142 is 2267216.
The greatest common factor of 3455/496,9434/9142 = [GCF of 3455,9434]/[LCM of 496,9142]= 1/2267216
Therefore, the GCF of 3455/496,9434/9142 is 1/2267216.
To find the highest common factor of 3455,9434, we have to find the factors of both numbers and list the highest common factor.
The factors of 3455 are 1, 5, 691, 3455
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The HCF of 3455,9434 is 1.
Lets's calculate GCF of 3455,9434
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3455,9434 By Matching Biggest Common Factor Method
Now, list down the factors of 3455
:1,5,691,3455
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 3455,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 3455,9434 is 1.
Lets's calculate LCM of 496,9142
| 2 | 496, 9142 |
| 248, 4571 |
∴ So the LCM of the given numbers is 2 x 248 x 4571 = 2267216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2267216
Therefore, the GCF of Fractions 3455/496,9434/9142 is 1/2267216
Least Common Multiple of 496,9142 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 496,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,9142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,9142) x common factors =2 x 1 = 2
LCM(496,9142) = ( 496 × 9142 ) / 2
LCM(496,9142) = 4534432 / 2
LCM(496,9142) = 2267216
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FAQs on GCF of Fractions of 3455/496, 9434/9142
1. What is the HCF of 3455,9434?
The HCF of 3455,9434 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 3455/496, 9434/9142?
Answer: GCF of Numerators as per given numbers 3455/496, 9434/9142 is
GCF of Numerators i.e. for 3455,9434 is 1
LCM of denominators i.e. for 496,9142 is 2267216.
Thus, GCF of Fractions is 1/2267216.Finally, GCF of Fractions for 3455/496, 9434/9142 is 1/2267216.