GCF of 2758/489, 9890/2600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2758/489, 9890/2600 i.e 2/1271400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2758/489, 9890/2600.
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 2758/489,9890/2600?
Given fractions are 2758/489,9890/2600
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 2758/489,9890/2600, numerators are 2758,9890
Denominators are 489,2600
The GCF of 2758,9890 is 2 .
LCM of 489,2600 is 1271400.
The greatest common factor of 2758/489,9890/2600 = [GCF of 2758,9890]/[LCM of 489,2600]= 2/1271400
Therefore, the GCF of 2758/489,9890/2600 is 2/1271400.
To find the highest common factor of 2758,9890, we have to find the factors of both numbers and list the highest common factor.
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890
The HCF of 2758,9890 is 2.
Lets's calculate GCF of 2758,9890
| 2 | 2758, 9890 |
| 1379, 4945 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2758,9890 By Matching Biggest Common Factor Method
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Now, list down the factors of 9890
:1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890
Greatest Common Factor
We found the factors 2758,9890 . The biggest common factor number is the GCF number.
So the greatest common factor 2758,9890 is 2.
Lets's calculate LCM of 489,2600
Given numbers has no common factors except 1. So, there LCM is their product i.e 1271400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1271400
Therefore, the GCF of Fractions 2758/489,9890/2600 is 2/1271400
Least Common Multiple of 489,2600 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 489,2600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,2600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,2600) x common factors =1 x 1 = 1
LCM(489,2600) = ( 489 × 2600 ) / 1
LCM(489,2600) = 1271400 / 1
LCM(489,2600) = 1271400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2758/489, 9890/2600
1. What is the HCF of 2758,9890?
The HCF of 2758,9890 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 2758/489, 9890/2600?
Answer: GCF of Numerators as per given numbers 2758/489, 9890/2600 is
GCF of Numerators i.e. for 2758,9890 is 2
LCM of denominators i.e. for 489,2600 is 1271400.
Thus, GCF of Fractions is 2/1271400.Finally, GCF of Fractions for 2758/489, 9890/2600 is 2/1271400.