GCF of 4486/446, 4975/9312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4486/446, 4975/9312 i.e 1/2076576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4486/446, 4975/9312.
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 4486/446,4975/9312?
Given fractions are 4486/446,4975/9312
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 4486/446,4975/9312, numerators are 4486,4975
Denominators are 446,9312
The GCF of 4486,4975 is 1 .
LCM of 446,9312 is 2076576.
The greatest common factor of 4486/446,4975/9312 = [GCF of 4486,4975]/[LCM of 446,9312]= 1/2076576
Therefore, the GCF of 4486/446,4975/9312 is 1/2076576.
To find the highest common factor of 4486,4975, we have to find the factors of both numbers and list the highest common factor.
The factors of 4486 are 1, 2, 2243, 4486
The factors of 4975 are 1, 5, 25, 199, 995, 4975
The HCF of 4486,4975 is 1.
Lets's calculate GCF of 4486,4975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4486,4975 By Matching Biggest Common Factor Method
Now, list down the factors of 4486
:1,2,2243,4486
Now, list down the factors of 4975
:1,5,25,199,995,4975
Greatest Common Factor
We found the factors 4486,4975 . The biggest common factor number is the GCF number.
So the greatest common factor 4486,4975 is 1.
Lets's calculate LCM of 446,9312
| 2 | 446, 9312 |
| 223, 4656 |
∴ So the LCM of the given numbers is 2 x 223 x 4656 = 2076576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2076576
Therefore, the GCF of Fractions 4486/446,4975/9312 is 1/2076576
Least Common Multiple of 446,9312 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 446,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,9312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,9312) x common factors =2 x 1 = 2
LCM(446,9312) = ( 446 × 9312 ) / 2
LCM(446,9312) = 4153152 / 2
LCM(446,9312) = 2076576
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FAQs on GCF of Fractions of 4486/446, 4975/9312
1. What is the HCF of 4486,4975?
The HCF of 4486,4975 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 4486/446, 4975/9312?
Answer: GCF of Numerators as per given numbers 4486/446, 4975/9312 is
GCF of Numerators i.e. for 4486,4975 is 1
LCM of denominators i.e. for 446,9312 is 2076576.
Thus, GCF of Fractions is 1/2076576.Finally, GCF of Fractions for 4486/446, 4975/9312 is 1/2076576.