GCF of 7425/458, 3268/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7425/458, 3268/111 i.e 1/50838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7425/458, 3268/111.
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 7425/458,3268/111?
Given fractions are 7425/458,3268/111
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 7425/458,3268/111, numerators are 7425,3268
Denominators are 458,111
The GCF of 7425,3268 is 1 .
LCM of 458,111 is 50838.
The greatest common factor of 7425/458,3268/111 = [GCF of 7425,3268]/[LCM of 458,111]= 1/50838
Therefore, the GCF of 7425/458,3268/111 is 1/50838.
To find the highest common factor of 7425,3268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268
The HCF of 7425,3268 is 1.
Lets's calculate GCF of 7425,3268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7425,3268 By Matching Biggest Common Factor Method
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Now, list down the factors of 3268
:1,2,4,19,38,43,76,86,172,817,1634,3268
Greatest Common Factor
We found the factors 7425,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,3268 is 1.
Lets's calculate LCM of 458,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 50838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50838
Therefore, the GCF of Fractions 7425/458,3268/111 is 1/50838
Least Common Multiple of 458,111 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 458,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,111) x common factors =1 x 1 = 1
LCM(458,111) = ( 458 × 111 ) / 1
LCM(458,111) = 50838 / 1
LCM(458,111) = 50838
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FAQs on GCF of Fractions of 7425/458, 3268/111
1. What is the HCF of 7425,3268?
The HCF of 7425,3268 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 7425/458, 3268/111?
Answer: GCF of Numerators as per given numbers 7425/458, 3268/111 is
GCF of Numerators i.e. for 7425,3268 is 1
LCM of denominators i.e. for 458,111 is 50838.
Thus, GCF of Fractions is 1/50838.Finally, GCF of Fractions for 7425/458, 3268/111 is 1/50838.