GCF of 529/364, 145/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 529/364, 145/128 i.e 1/11648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/364, 145/128.
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 529/364,145/128?
Given fractions are 529/364,145/128
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 529/364,145/128, numerators are 529,145
Denominators are 364,128
The GCF of 529,145 is 1 .
LCM of 364,128 is 11648.
The greatest common factor of 529/364,145/128 = [GCF of 529,145]/[LCM of 364,128]= 1/11648
Therefore, the GCF of 529/364,145/128 is 1/11648.
To find the highest common factor of 529,145, we have to find the factors of both numbers and list the highest common factor.
The factors of 529 are 1, 23, 529
The factors of 145 are 1, 5, 29, 145
The HCF of 529,145 is 1.
Lets's calculate GCF of 529,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 529,145 By Matching Biggest Common Factor Method
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 145
:1,5,29,145
Greatest Common Factor
We found the factors 529,145 . The biggest common factor number is the GCF number.
So the greatest common factor 529,145 is 1.
Lets's calculate LCM of 364,128
| 2 | 364, 128 |
| 2 | 182, 64 |
| 91, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 32 = 11648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11648
Therefore, the GCF of Fractions 529/364,145/128 is 1/11648
Least Common Multiple of 364,128 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 364,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,128) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,128) x common factors =4 x 1 = 4
LCM(364,128) = ( 364 × 128 ) / 4
LCM(364,128) = 46592 / 4
LCM(364,128) = 11648
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FAQs on GCF of Fractions of 529/364, 145/128
1. What is the HCF of 529,145?
The HCF of 529,145 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 529/364, 145/128?
Answer: GCF of Numerators as per given numbers 529/364, 145/128 is
GCF of Numerators i.e. for 529,145 is 1
LCM of denominators i.e. for 364,128 is 11648.
Thus, GCF of Fractions is 1/11648.Finally, GCF of Fractions for 529/364, 145/128 is 1/11648.