GCF of 529/170, 512/502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 529/170, 512/502 i.e 1/42670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/170, 512/502.
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 529/170,512/502?
Given fractions are 529/170,512/502
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 529/170,512/502, numerators are 529,512
Denominators are 170,502
The GCF of 529,512 is 1 .
LCM of 170,502 is 42670.
The greatest common factor of 529/170,512/502 = [GCF of 529,512]/[LCM of 170,502]= 1/42670
Therefore, the GCF of 529/170,512/502 is 1/42670.
To find the highest common factor of 529,512, 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 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 529,512 is 1.
Lets's calculate GCF of 529,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 529,512 By Matching Biggest Common Factor Method
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 529,512 . The biggest common factor number is the GCF number.
So the greatest common factor 529,512 is 1.
Lets's calculate LCM of 170,502
| 2 | 170, 502 |
| 85, 251 |
∴ So the LCM of the given numbers is 2 x 85 x 251 = 42670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42670
Therefore, the GCF of Fractions 529/170,512/502 is 1/42670
Least Common Multiple of 170,502 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 170,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,502) x common factors =2 x 1 = 2
LCM(170,502) = ( 170 × 502 ) / 2
LCM(170,502) = 85340 / 2
LCM(170,502) = 42670
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FAQs on GCF of Fractions of 529/170, 512/502
1. What is the HCF of 529,512?
The HCF of 529,512 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 529/170, 512/502?
Answer: GCF of Numerators as per given numbers 529/170, 512/502 is
GCF of Numerators i.e. for 529,512 is 1
LCM of denominators i.e. for 170,502 is 42670.
Thus, GCF of Fractions is 1/42670.Finally, GCF of Fractions for 529/170, 512/502 is 1/42670.