GCF of 529/45, 288/3937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 529/45, 288/3937 i.e 1/177165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/45, 288/3937.
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 529/45,288/3937?
Given fractions are 529/45,288/3937
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 529/45,288/3937, numerators are 529,288
Denominators are 45,3937
The GCF of 529,288 is 1 .
LCM of 45,3937 is 177165.
The greatest common factor of 529/45,288/3937 = [GCF of 529,288]/[LCM of 45,3937]= 1/177165
Therefore, the GCF of 529/45,288/3937 is 1/177165.
To find the highest common factor of 529,288, 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 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 529,288 is 1.
Lets's calculate GCF of 529,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 529,288 By Matching Biggest Common Factor Method
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 529,288 . The biggest common factor number is the GCF number.
So the greatest common factor 529,288 is 1.
Lets's calculate LCM of 45,3937
Given numbers has no common factors except 1. So, there LCM is their product i.e 177165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177165
Therefore, the GCF of Fractions 529/45,288/3937 is 1/177165
Least Common Multiple of 45,3937 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 45,3937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,3937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,3937) x common factors =1 x 1 = 1
LCM(45,3937) = ( 45 × 3937 ) / 1
LCM(45,3937) = 177165 / 1
LCM(45,3937) = 177165
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FAQs on GCF of Fractions of 529/45, 288/3937
1. What is the HCF of 529,288?
The HCF of 529,288 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 529/45, 288/3937?
Answer: GCF of Numerators as per given numbers 529/45, 288/3937 is
GCF of Numerators i.e. for 529,288 is 1
LCM of denominators i.e. for 45,3937 is 177165.
Thus, GCF of Fractions is 1/177165.Finally, GCF of Fractions for 529/45, 288/3937 is 1/177165.