GCF of 4529/458, 1057/8826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4529/458, 1057/8826 i.e 7/2021154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4529/458, 1057/8826.
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 4529/458,1057/8826?
Given fractions are 4529/458,1057/8826
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 4529/458,1057/8826, numerators are 4529,1057
Denominators are 458,8826
The GCF of 4529,1057 is 7 .
LCM of 458,8826 is 2021154.
The greatest common factor of 4529/458,1057/8826 = [GCF of 4529,1057]/[LCM of 458,8826]= 7/2021154
Therefore, the GCF of 4529/458,1057/8826 is 7/2021154.
To find the highest common factor of 4529,1057, we have to find the factors of both numbers and list the highest common factor.
The factors of 4529 are 1, 7, 647, 4529
The factors of 1057 are 1, 7, 151, 1057
The HCF of 4529,1057 is 7.
Lets's calculate GCF of 4529,1057
| 7 | 4529, 1057 |
| 647, 151 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4529,1057 By Matching Biggest Common Factor Method
Now, list down the factors of 4529
:1,7,647,4529
Now, list down the factors of 1057
:1,7,151,1057
Greatest Common Factor
We found the factors 4529,1057 . The biggest common factor number is the GCF number.
So the greatest common factor 4529,1057 is 7.
Lets's calculate LCM of 458,8826
| 2 | 458, 8826 |
| 229, 4413 |
∴ So the LCM of the given numbers is 2 x 229 x 4413 = 2021154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2021154
Therefore, the GCF of Fractions 4529/458,1057/8826 is 7/2021154
Least Common Multiple of 458,8826 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 458,8826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,8826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,8826) x common factors =2 x 1 = 2
LCM(458,8826) = ( 458 × 8826 ) / 2
LCM(458,8826) = 4042308 / 2
LCM(458,8826) = 2021154
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FAQs on GCF of Fractions of 4529/458, 1057/8826
1. What is the HCF of 4529,1057?
The HCF of 4529,1057 is 7
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 4529/458, 1057/8826?
Answer: GCF of Numerators as per given numbers 4529/458, 1057/8826 is
GCF of Numerators i.e. for 4529,1057 is 7
LCM of denominators i.e. for 458,8826 is 2021154.
Thus, GCF of Fractions is 7/2021154.Finally, GCF of Fractions for 4529/458, 1057/8826 is 7/2021154.