GCF of 1797/105, 6575/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1797/105, 6575/745 i.e 1/15645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1797/105, 6575/745.
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 1797/105,6575/745?
Given fractions are 1797/105,6575/745
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 1797/105,6575/745, numerators are 1797,6575
Denominators are 105,745
The GCF of 1797,6575 is 1 .
LCM of 105,745 is 15645.
The greatest common factor of 1797/105,6575/745 = [GCF of 1797,6575]/[LCM of 105,745]= 1/15645
Therefore, the GCF of 1797/105,6575/745 is 1/15645.
To find the highest common factor of 1797,6575, we have to find the factors of both numbers and list the highest common factor.
The factors of 1797 are 1, 3, 599, 1797
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The HCF of 1797,6575 is 1.
Lets's calculate GCF of 1797,6575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1797,6575 By Matching Biggest Common Factor Method
Now, list down the factors of 1797
:1,3,599,1797
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 1797,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 1797,6575 is 1.
Lets's calculate LCM of 105,745
| 5 | 105, 745 |
| 21, 149 |
∴ So the LCM of the given numbers is 5 x 21 x 149 = 15645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15645
Therefore, the GCF of Fractions 1797/105,6575/745 is 1/15645
Least Common Multiple of 105,745 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 105,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,745) x common factors =5 x 1 = 5
LCM(105,745) = ( 105 × 745 ) / 5
LCM(105,745) = 78225 / 5
LCM(105,745) = 15645
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FAQs on GCF of Fractions of 1797/105, 6575/745
1. What is the HCF of 1797,6575?
The HCF of 1797,6575 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 1797/105, 6575/745?
Answer: GCF of Numerators as per given numbers 1797/105, 6575/745 is
GCF of Numerators i.e. for 1797,6575 is 1
LCM of denominators i.e. for 105,745 is 15645.
Thus, GCF of Fractions is 1/15645.Finally, GCF of Fractions for 1797/105, 6575/745 is 1/15645.