GCF of 1727/165, 6354/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1727/165, 6354/723 i.e 1/39765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1727/165, 6354/723.
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 1727/165,6354/723?
Given fractions are 1727/165,6354/723
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 1727/165,6354/723, numerators are 1727,6354
Denominators are 165,723
The GCF of 1727,6354 is 1 .
LCM of 165,723 is 39765.
The greatest common factor of 1727/165,6354/723 = [GCF of 1727,6354]/[LCM of 165,723]= 1/39765
Therefore, the GCF of 1727/165,6354/723 is 1/39765.
To find the highest common factor of 1727,6354, we have to find the factors of both numbers and list the highest common factor.
The factors of 1727 are 1, 11, 157, 1727
The factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354
The HCF of 1727,6354 is 1.
Lets's calculate GCF of 1727,6354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1727,6354 By Matching Biggest Common Factor Method
Now, list down the factors of 1727
:1,11,157,1727
Now, list down the factors of 6354
:1,2,3,6,9,18,353,706,1059,2118,3177,6354
Greatest Common Factor
We found the factors 1727,6354 . The biggest common factor number is the GCF number.
So the greatest common factor 1727,6354 is 1.
Lets's calculate LCM of 165,723
| 3 | 165, 723 |
| 55, 241 |
∴ So the LCM of the given numbers is 3 x 55 x 241 = 39765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39765
Therefore, the GCF of Fractions 1727/165,6354/723 is 1/39765
Least Common Multiple of 165,723 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 165,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,723) x common factors =3 x 1 = 3
LCM(165,723) = ( 165 × 723 ) / 3
LCM(165,723) = 119295 / 3
LCM(165,723) = 39765
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1727/165, 6354/723
1. What is the HCF of 1727,6354?
The HCF of 1727,6354 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 1727/165, 6354/723?
Answer: GCF of Numerators as per given numbers 1727/165, 6354/723 is
GCF of Numerators i.e. for 1727,6354 is 1
LCM of denominators i.e. for 165,723 is 39765.
Thus, GCF of Fractions is 1/39765.Finally, GCF of Fractions for 1727/165, 6354/723 is 1/39765.