GCF of 3640/400, 9940/7291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3640/400, 9940/7291 i.e 140/2916400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3640/400, 9940/7291.
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 3640/400,9940/7291?
Given fractions are 3640/400,9940/7291
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 3640/400,9940/7291, numerators are 3640,9940
Denominators are 400,7291
The GCF of 3640,9940 is 140 .
LCM of 400,7291 is 2916400.
The greatest common factor of 3640/400,9940/7291 = [GCF of 3640,9940]/[LCM of 400,7291]= 140/2916400
Therefore, the GCF of 3640/400,9940/7291 is 140/2916400.
To find the highest common factor of 3640,9940, we have to find the factors of both numbers and list the highest common factor.
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The HCF of 3640,9940 is 140.
Lets's calculate GCF of 3640,9940
| 2 | 3640, 9940 |
| 2 | 1820, 4970 |
| 5 | 910, 2485 |
| 7 | 182, 497 |
| 26, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140
Greatest Common Factor of 3640,9940 By Matching Biggest Common Factor Method
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 3640,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,9940 is 140.
Lets's calculate LCM of 400,7291
Given numbers has no common factors except 1. So, there LCM is their product i.e 2916400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/2916400
Therefore, the GCF of Fractions 3640/400,9940/7291 is 140/2916400
Least Common Multiple of 400,7291 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 400,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,7291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,7291) x common factors =1 x 1 = 1
LCM(400,7291) = ( 400 × 7291 ) / 1
LCM(400,7291) = 2916400 / 1
LCM(400,7291) = 2916400
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FAQs on GCF of Fractions of 3640/400, 9940/7291
1. What is the HCF of 3640,9940?
The HCF of 3640,9940 is 140
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 3640/400, 9940/7291?
Answer: GCF of Numerators as per given numbers 3640/400, 9940/7291 is
GCF of Numerators i.e. for 3640,9940 is 140
LCM of denominators i.e. for 400,7291 is 2916400.
Thus, GCF of Fractions is 140/2916400.Finally, GCF of Fractions for 3640/400, 9940/7291 is 140/2916400.