GCF of 273/722, 2169/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 273/722, 2169/722 i.e 3/722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/722, 2169/722.
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 273/722,2169/722?
Given fractions are 273/722,2169/722
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 273/722,2169/722, numerators are 273,2169
Denominators are 722,722
The GCF of 273,2169 is 3 .
LCM of 722,722 is 722.
The greatest common factor of 273/722,2169/722 = [GCF of 273,2169]/[LCM of 722,722]= 3/722
Therefore, the GCF of 273/722,2169/722 is 3/722.
To find the highest common factor of 273,2169, we have to find the factors of both numbers and list the highest common factor.
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 2169 are 1, 3, 9, 241, 723, 2169
The HCF of 273,2169 is 3.
Lets's calculate GCF of 273,2169
| 3 | 273, 2169 |
| 91, 723 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 273,2169 By Matching Biggest Common Factor Method
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 2169
:1,3,9,241,723,2169
Greatest Common Factor
We found the factors 273,2169 . The biggest common factor number is the GCF number.
So the greatest common factor 273,2169 is 3.
Lets's calculate LCM of 722,722
| 2 | 722, 722 |
| 19 | 361, 361 |
| 19 | 19, 19 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 19 x 19 x 1 x 1 = 722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/722
Therefore, the GCF of Fractions 273/722,2169/722 is 3/722
Least Common Multiple of 722,722 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 722,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,722) = 722
common factors(in case of two or more numbers have common factors) = 1
GCF(722,722) x common factors =722 x 1 = 722
LCM(722,722) = ( 722 × 722 ) / 722
LCM(722,722) = 521284 / 722
LCM(722,722) = 722
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FAQs on GCF of Fractions of 273/722, 2169/722
1. What is the HCF of 273,2169?
The HCF of 273,2169 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 273/722, 2169/722?
Answer: GCF of Numerators as per given numbers 273/722, 2169/722 is
GCF of Numerators i.e. for 273,2169 is 3
LCM of denominators i.e. for 722,722 is 722.
Thus, GCF of Fractions is 3/722.Finally, GCF of Fractions for 273/722, 2169/722 is 3/722.