GCF of 2945/894, 5940/9188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2945/894, 5940/9188 i.e 5/4107036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2945/894, 5940/9188.
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 2945/894,5940/9188?
Given fractions are 2945/894,5940/9188
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 2945/894,5940/9188, numerators are 2945,5940
Denominators are 894,9188
The GCF of 2945,5940 is 5 .
LCM of 894,9188 is 4107036.
The greatest common factor of 2945/894,5940/9188 = [GCF of 2945,5940]/[LCM of 894,9188]= 5/4107036
Therefore, the GCF of 2945/894,5940/9188 is 5/4107036.
To find the highest common factor of 2945,5940, we have to find the factors of both numbers and list the highest common factor.
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
The HCF of 2945,5940 is 5.
Lets's calculate GCF of 2945,5940
| 5 | 2945, 5940 |
| 589, 1188 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2945,5940 By Matching Biggest Common Factor Method
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Now, list down the factors of 5940
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940
Greatest Common Factor
We found the factors 2945,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 2945,5940 is 5.
Lets's calculate LCM of 894,9188
| 2 | 894, 9188 |
| 447, 4594 |
∴ So the LCM of the given numbers is 2 x 447 x 4594 = 4107036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4107036
Therefore, the GCF of Fractions 2945/894,5940/9188 is 5/4107036
Least Common Multiple of 894,9188 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 894,9188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,9188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,9188) x common factors =2 x 1 = 2
LCM(894,9188) = ( 894 × 9188 ) / 2
LCM(894,9188) = 8214072 / 2
LCM(894,9188) = 4107036
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FAQs on GCF of Fractions of 2945/894, 5940/9188
1. What is the HCF of 2945,5940?
The HCF of 2945,5940 is 5
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 2945/894, 5940/9188?
Answer: GCF of Numerators as per given numbers 2945/894, 5940/9188 is
GCF of Numerators i.e. for 2945,5940 is 5
LCM of denominators i.e. for 894,9188 is 4107036.
Thus, GCF of Fractions is 5/4107036.Finally, GCF of Fractions for 2945/894, 5940/9188 is 5/4107036.