GCF of 2640/394, 1958/9863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2640/394, 1958/9863 i.e 22/3886022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2640/394, 1958/9863.
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 2640/394,1958/9863?
Given fractions are 2640/394,1958/9863
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 2640/394,1958/9863, numerators are 2640,1958
Denominators are 394,9863
The GCF of 2640,1958 is 22 .
LCM of 394,9863 is 3886022.
The greatest common factor of 2640/394,1958/9863 = [GCF of 2640,1958]/[LCM of 394,9863]= 22/3886022
Therefore, the GCF of 2640/394,1958/9863 is 22/3886022.
To find the highest common factor of 2640,1958, we have to find the factors of both numbers and list the highest common factor.
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The HCF of 2640,1958 is 22.
Lets's calculate GCF of 2640,1958
| 2 | 2640, 1958 |
| 11 | 1320, 979 |
| 120, 89 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 2640,1958 By Matching Biggest Common Factor Method
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors 2640,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 2640,1958 is 22.
Lets's calculate LCM of 394,9863
Given numbers has no common factors except 1. So, there LCM is their product i.e 3886022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3886022
Therefore, the GCF of Fractions 2640/394,1958/9863 is 22/3886022
Least Common Multiple of 394,9863 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 394,9863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,9863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,9863) x common factors =1 x 1 = 1
LCM(394,9863) = ( 394 × 9863 ) / 1
LCM(394,9863) = 3886022 / 1
LCM(394,9863) = 3886022
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2640/394, 1958/9863
1. What is the HCF of 2640,1958?
The HCF of 2640,1958 is 22
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 2640/394, 1958/9863?
Answer: GCF of Numerators as per given numbers 2640/394, 1958/9863 is
GCF of Numerators i.e. for 2640,1958 is 22
LCM of denominators i.e. for 394,9863 is 3886022.
Thus, GCF of Fractions is 22/3886022.Finally, GCF of Fractions for 2640/394, 1958/9863 is 22/3886022.