GCF of 2661/685, 9273/1128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2661/685, 9273/1128 i.e 3/772680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2661/685, 9273/1128.
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 2661/685,9273/1128?
Given fractions are 2661/685,9273/1128
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 2661/685,9273/1128, numerators are 2661,9273
Denominators are 685,1128
The GCF of 2661,9273 is 3 .
LCM of 685,1128 is 772680.
The greatest common factor of 2661/685,9273/1128 = [GCF of 2661,9273]/[LCM of 685,1128]= 3/772680
Therefore, the GCF of 2661/685,9273/1128 is 3/772680.
To find the highest common factor of 2661,9273, we have to find the factors of both numbers and list the highest common factor.
The factors of 2661 are 1, 3, 887, 2661
The factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273
The HCF of 2661,9273 is 3.
Lets's calculate GCF of 2661,9273
| 3 | 2661, 9273 |
| 887, 3091 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2661,9273 By Matching Biggest Common Factor Method
Now, list down the factors of 2661
:1,3,887,2661
Now, list down the factors of 9273
:1,3,11,33,281,843,3091,9273
Greatest Common Factor
We found the factors 2661,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 2661,9273 is 3.
Lets's calculate LCM of 685,1128
Given numbers has no common factors except 1. So, there LCM is their product i.e 772680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/772680
Therefore, the GCF of Fractions 2661/685,9273/1128 is 3/772680
Least Common Multiple of 685,1128 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 685,1128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,1128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,1128) x common factors =1 x 1 = 1
LCM(685,1128) = ( 685 × 1128 ) / 1
LCM(685,1128) = 772680 / 1
LCM(685,1128) = 772680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2661/685, 9273/1128
1. What is the HCF of 2661,9273?
The HCF of 2661,9273 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 2661/685, 9273/1128?
Answer: GCF of Numerators as per given numbers 2661/685, 9273/1128 is
GCF of Numerators i.e. for 2661,9273 is 3
LCM of denominators i.e. for 685,1128 is 772680.
Thus, GCF of Fractions is 3/772680.Finally, GCF of Fractions for 2661/685, 9273/1128 is 3/772680.