GCF of 2666/978, 2510/2336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2666/978, 2510/2336 i.e 2/1142304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2666/978, 2510/2336.
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 2666/978,2510/2336?
Given fractions are 2666/978,2510/2336
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 2666/978,2510/2336, numerators are 2666,2510
Denominators are 978,2336
The GCF of 2666,2510 is 2 .
LCM of 978,2336 is 1142304.
The greatest common factor of 2666/978,2510/2336 = [GCF of 2666,2510]/[LCM of 978,2336]= 2/1142304
Therefore, the GCF of 2666/978,2510/2336 is 2/1142304.
To find the highest common factor of 2666,2510, we have to find the factors of both numbers and list the highest common factor.
The factors of 2666 are 1, 2, 31, 43, 62, 86, 1333, 2666
The factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510
The HCF of 2666,2510 is 2.
Lets's calculate GCF of 2666,2510
| 2 | 2666, 2510 |
| 1333, 1255 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2666,2510 By Matching Biggest Common Factor Method
Now, list down the factors of 2666
:1,2,31,43,62,86,1333,2666
Now, list down the factors of 2510
:1,2,5,10,251,502,1255,2510
Greatest Common Factor
We found the factors 2666,2510 . The biggest common factor number is the GCF number.
So the greatest common factor 2666,2510 is 2.
Lets's calculate LCM of 978,2336
| 2 | 978, 2336 |
| 489, 1168 |
∴ So the LCM of the given numbers is 2 x 489 x 1168 = 1142304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1142304
Therefore, the GCF of Fractions 2666/978,2510/2336 is 2/1142304
Least Common Multiple of 978,2336 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 978,2336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,2336) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,2336) x common factors =2 x 1 = 2
LCM(978,2336) = ( 978 × 2336 ) / 2
LCM(978,2336) = 2284608 / 2
LCM(978,2336) = 1142304
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2666/978, 2510/2336
1. What is the HCF of 2666,2510?
The HCF of 2666,2510 is 2
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 2666/978, 2510/2336?
Answer: GCF of Numerators as per given numbers 2666/978, 2510/2336 is
GCF of Numerators i.e. for 2666,2510 is 2
LCM of denominators i.e. for 978,2336 is 1142304.
Thus, GCF of Fractions is 2/1142304.Finally, GCF of Fractions for 2666/978, 2510/2336 is 2/1142304.