GCF of 449/622, 676/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/622, 676/128 i.e 1/39808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/622, 676/128.
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 449/622,676/128?
Given fractions are 449/622,676/128
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 449/622,676/128, numerators are 449,676
Denominators are 622,128
The GCF of 449,676 is 1 .
LCM of 622,128 is 39808.
The greatest common factor of 449/622,676/128 = [GCF of 449,676]/[LCM of 622,128]= 1/39808
Therefore, the GCF of 449/622,676/128 is 1/39808.
To find the highest common factor of 449,676, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 449,676 is 1.
Lets's calculate GCF of 449,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,676 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 449,676 . The biggest common factor number is the GCF number.
So the greatest common factor 449,676 is 1.
Lets's calculate LCM of 622,128
| 2 | 622, 128 |
| 311, 64 |
∴ So the LCM of the given numbers is 2 x 311 x 64 = 39808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39808
Therefore, the GCF of Fractions 449/622,676/128 is 1/39808
Least Common Multiple of 622,128 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 622,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,128) x common factors =2 x 1 = 2
LCM(622,128) = ( 622 × 128 ) / 2
LCM(622,128) = 79616 / 2
LCM(622,128) = 39808
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FAQs on GCF of Fractions of 449/622, 676/128
1. What is the HCF of 449,676?
The HCF of 449,676 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 449/622, 676/128?
Answer: GCF of Numerators as per given numbers 449/622, 676/128 is
GCF of Numerators i.e. for 449,676 is 1
LCM of denominators i.e. for 622,128 is 39808.
Thus, GCF of Fractions is 1/39808.Finally, GCF of Fractions for 449/622, 676/128 is 1/39808.