GCF of 453/124, 472/446, 317/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/124, 472/446, 317/256 i.e 1/1769728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/124, 472/446, 317/256.
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 453/124,472/446,317/256?
Given fractions are 453/124,472/446,317/256
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 453/124,472/446,317/256, numerators are 453,472,317
Denominators are 124,446,256
The GCF of 453,472,317 is 1 .
LCM of 124,446,256 is 1769728.
The greatest common factor of 453/124,472/446,317/256 = [GCF of 453,472,317]/[LCM of 124,446,256]= 1/1769728
Therefore, the GCF of 453/124,472/446,317/256 is 1/1769728.
To find the highest common factor of 453,472,317, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 317 are 1, 317
The HCF of 453,472,317 is 1.
Lets's calculate GCF of 453,472,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 453,472,317 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 317
:1,317
Greatest Common Factor
We found the factors 453,472,317 . The biggest common factor number is the GCF number.
So the greatest common factor 453,472,317 is 1.
Lets's calculate LCM of 124,446,256
| 2 | 124, 446, 256 |
| 2 | 62, 223, 128 |
| 31, 223, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 223 x 64 = 1769728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1769728
Therefore, the GCF of Fractions 453/124,472/446,317/256 is 1/1769728
Least Common Multiple of 124,446,256 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 124,446,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,446,256) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(124,446,256) x common factors =2 x 4 = 8
LCM(124,446,256) = ( 124 × 446 × 256 ) / 8
LCM(124,446,256) = 14157824 / 8
LCM(124,446,256) = 1769728
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FAQs on GCF of Fractions of 453/124, 472/446, 317/256
1. What is the HCF of 453,472,317?
The HCF of 453,472,317 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 453/124, 472/446, 317/256?
Answer: GCF of Numerators as per given numbers 453/124, 472/446, 317/256 is
GCF of Numerators i.e. for 453,472,317 is 1
LCM of denominators i.e. for 124,446,256 is 1769728.
Thus, GCF of Fractions is 1/1769728.Finally, GCF of Fractions for 453/124, 472/446, 317/256 is 1/1769728.