GCF of 93/65, 750/82, 172/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 93/65, 750/82, 172/198 i.e 1/527670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/65, 750/82, 172/198.
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 93/65,750/82,172/198?
Given fractions are 93/65,750/82,172/198
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 93/65,750/82,172/198, numerators are 93,750,172
Denominators are 65,82,198
The GCF of 93,750,172 is 1 .
LCM of 65,82,198 is 527670.
The greatest common factor of 93/65,750/82,172/198 = [GCF of 93,750,172]/[LCM of 65,82,198]= 1/527670
Therefore, the GCF of 93/65,750/82,172/198 is 1/527670.
To find the highest common factor of 93,750,172, 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 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 172 are 1, 2, 4, 43, 86, 172
The HCF of 93,750,172 is 1.
Lets's calculate GCF of 93,750,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 93,750,172 By Matching Biggest Common Factor Method
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 172
:1,2,4,43,86,172
Greatest Common Factor
We found the factors 93,750,172 . The biggest common factor number is the GCF number.
So the greatest common factor 93,750,172 is 1.
Lets's calculate LCM of 65,82,198
| 2 | 65, 82, 198 |
| 65, 41, 99 |
∴ So the LCM of the given numbers is 2 x 65 x 41 x 99 = 527670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/527670
Therefore, the GCF of Fractions 93/65,750/82,172/198 is 1/527670
Least Common Multiple of 65,82,198 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 65,82,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,82,198) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,82,198) x common factors =1 x 2 = 2
LCM(65,82,198) = ( 65 × 82 × 198 ) / 2
LCM(65,82,198) = 1055340 / 2
LCM(65,82,198) = 527670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 93/65, 750/82, 172/198
1. What is the HCF of 93,750,172?
The HCF of 93,750,172 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 93/65, 750/82, 172/198?
Answer: GCF of Numerators as per given numbers 93/65, 750/82, 172/198 is
GCF of Numerators i.e. for 93,750,172 is 1
LCM of denominators i.e. for 65,82,198 is 527670.
Thus, GCF of Fractions is 1/527670.Finally, GCF of Fractions for 93/65, 750/82, 172/198 is 1/527670.