GCF of 93/86, 723/85, 537/510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 93/86, 723/85, 537/510 i.e 3/21930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/86, 723/85, 537/510.
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 93/86,723/85,537/510?
Given fractions are 93/86,723/85,537/510
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 93/86,723/85,537/510, numerators are 93,723,537
Denominators are 86,85,510
The GCF of 93,723,537 is 3 .
LCM of 86,85,510 is 21930.
The greatest common factor of 93/86,723/85,537/510 = [GCF of 93,723,537]/[LCM of 86,85,510]= 3/21930
Therefore, the GCF of 93/86,723/85,537/510 is 3/21930.
To find the highest common factor of 93,723,537, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 723 are 1, 3, 241, 723
The factors of 537 are 1, 3, 179, 537
The HCF of 93,723,537 is 3.
Lets's calculate GCF of 93,723,537
| 3 | 93, 723, 537 |
| 31, 241, 179 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 93,723,537 By Matching Biggest Common Factor Method
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 723
:1,3,241,723
Now, list down the factors of 537
:1,3,179,537
Greatest Common Factor
We found the factors 93,723,537 . The biggest common factor number is the GCF number.
So the greatest common factor 93,723,537 is 3.
Lets's calculate LCM of 86,85,510
| 2 | 86, 85, 510 |
| 5 | 43, 85, 255 |
| 17 | 43, 17, 51 |
| 43, 1, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 43 x 1 x 3 = 21930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21930
Therefore, the GCF of Fractions 93/86,723/85,537/510 is 3/21930
Least Common Multiple of 86,85,510 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 86,85,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,85,510) = 1
common factors(in case of two or more numbers have common factors) = 170
GCF(86,85,510) x common factors =1 x 170 = 170
LCM(86,85,510) = ( 86 × 85 × 510 ) / 170
LCM(86,85,510) = 3728100 / 170
LCM(86,85,510) = 21930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 93/86, 723/85, 537/510
1. What is the HCF of 93,723,537?
The HCF of 93,723,537 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 93/86, 723/85, 537/510?
Answer: GCF of Numerators as per given numbers 93/86, 723/85, 537/510 is
GCF of Numerators i.e. for 93,723,537 is 3
LCM of denominators i.e. for 86,85,510 is 21930.
Thus, GCF of Fractions is 3/21930.Finally, GCF of Fractions for 93/86, 723/85, 537/510 is 3/21930.