GCF of 1023/889, 2697/3310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1023/889, 2697/3310 i.e 93/2942590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1023/889, 2697/3310.
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 1023/889,2697/3310?
Given fractions are 1023/889,2697/3310
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 1023/889,2697/3310, numerators are 1023,2697
Denominators are 889,3310
The GCF of 1023,2697 is 93 .
LCM of 889,3310 is 2942590.
The greatest common factor of 1023/889,2697/3310 = [GCF of 1023,2697]/[LCM of 889,3310]= 93/2942590
Therefore, the GCF of 1023/889,2697/3310 is 93/2942590.
To find the highest common factor of 1023,2697, we have to find the factors of both numbers and list the highest common factor.
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The HCF of 1023,2697 is 93.
Lets's calculate GCF of 1023,2697
| 3 | 1023, 2697 |
| 31 | 341, 899 |
| 11, 29 |
∴ So the GCF of the given numbers is 3 x 31 = 93
Greatest Common Factor of 1023,2697 By Matching Biggest Common Factor Method
Now, list down the factors of 1023
:1,3,11,31,33,93,341,1023
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Greatest Common Factor
We found the factors 1023,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 1023,2697 is 93.
Lets's calculate LCM of 889,3310
Given numbers has no common factors except 1. So, there LCM is their product i.e 2942590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 93/2942590
Therefore, the GCF of Fractions 1023/889,2697/3310 is 93/2942590
Least Common Multiple of 889,3310 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 889,3310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,3310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,3310) x common factors =1 x 1 = 1
LCM(889,3310) = ( 889 × 3310 ) / 1
LCM(889,3310) = 2942590 / 1
LCM(889,3310) = 2942590
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FAQs on GCF of Fractions of 1023/889, 2697/3310
1. What is the HCF of 1023,2697?
The HCF of 1023,2697 is 93
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 1023/889, 2697/3310?
Answer: GCF of Numerators as per given numbers 1023/889, 2697/3310 is
GCF of Numerators i.e. for 1023,2697 is 93
LCM of denominators i.e. for 889,3310 is 2942590.
Thus, GCF of Fractions is 93/2942590.Finally, GCF of Fractions for 1023/889, 2697/3310 is 93/2942590.