GCF of 1761/829, 2553/275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1761/829, 2553/275 i.e 3/227975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1761/829, 2553/275.
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 1761/829,2553/275?
Given fractions are 1761/829,2553/275
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 1761/829,2553/275, numerators are 1761,2553
Denominators are 829,275
The GCF of 1761,2553 is 3 .
LCM of 829,275 is 227975.
The greatest common factor of 1761/829,2553/275 = [GCF of 1761,2553]/[LCM of 829,275]= 3/227975
Therefore, the GCF of 1761/829,2553/275 is 3/227975.
To find the highest common factor of 1761,2553, we have to find the factors of both numbers and list the highest common factor.
The factors of 1761 are 1, 3, 587, 1761
The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553
The HCF of 1761,2553 is 3.
Lets's calculate GCF of 1761,2553
| 3 | 1761, 2553 |
| 587, 851 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1761,2553 By Matching Biggest Common Factor Method
Now, list down the factors of 1761
:1,3,587,1761
Now, list down the factors of 2553
:1,3,23,37,69,111,851,2553
Greatest Common Factor
We found the factors 1761,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 1761,2553 is 3.
Lets's calculate LCM of 829,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 227975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/227975
Therefore, the GCF of Fractions 1761/829,2553/275 is 3/227975
Least Common Multiple of 829,275 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 829,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,275) x common factors =1 x 1 = 1
LCM(829,275) = ( 829 × 275 ) / 1
LCM(829,275) = 227975 / 1
LCM(829,275) = 227975
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FAQs on GCF of Fractions of 1761/829, 2553/275
1. What is the HCF of 1761,2553?
The HCF of 1761,2553 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 1761/829, 2553/275?
Answer: GCF of Numerators as per given numbers 1761/829, 2553/275 is
GCF of Numerators i.e. for 1761,2553 is 3
LCM of denominators i.e. for 829,275 is 227975.
Thus, GCF of Fractions is 3/227975.Finally, GCF of Fractions for 1761/829, 2553/275 is 3/227975.