GCF of 537/458, 165/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 537/458, 165/753 i.e 3/344874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/458, 165/753.
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 537/458,165/753?
Given fractions are 537/458,165/753
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 537/458,165/753, numerators are 537,165
Denominators are 458,753
The GCF of 537,165 is 3 .
LCM of 458,753 is 344874.
The greatest common factor of 537/458,165/753 = [GCF of 537,165]/[LCM of 458,753]= 3/344874
Therefore, the GCF of 537/458,165/753 is 3/344874.
To find the highest common factor of 537,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 537 are 1, 3, 179, 537
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 537,165 is 3.
Lets's calculate GCF of 537,165
| 3 | 537, 165 |
| 179, 55 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 537,165 By Matching Biggest Common Factor Method
Now, list down the factors of 537
:1,3,179,537
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 537,165 . The biggest common factor number is the GCF number.
So the greatest common factor 537,165 is 3.
Lets's calculate LCM of 458,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 344874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/344874
Therefore, the GCF of Fractions 537/458,165/753 is 3/344874
Least Common Multiple of 458,753 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 458,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,753) x common factors =1 x 1 = 1
LCM(458,753) = ( 458 × 753 ) / 1
LCM(458,753) = 344874 / 1
LCM(458,753) = 344874
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FAQs on GCF of Fractions of 537/458, 165/753
1. What is the HCF of 537,165?
The HCF of 537,165 is 3
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 537/458, 165/753?
Answer: GCF of Numerators as per given numbers 537/458, 165/753 is
GCF of Numerators i.e. for 537,165 is 3
LCM of denominators i.e. for 458,753 is 344874.
Thus, GCF of Fractions is 3/344874.Finally, GCF of Fractions for 537/458, 165/753 is 3/344874.