GCF of 2240/621, 5616/8382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2240/621, 5616/8382 i.e 16/1735074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2240/621, 5616/8382.
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 2240/621,5616/8382?
Given fractions are 2240/621,5616/8382
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 2240/621,5616/8382, numerators are 2240,5616
Denominators are 621,8382
The GCF of 2240,5616 is 16 .
LCM of 621,8382 is 1735074.
The greatest common factor of 2240/621,5616/8382 = [GCF of 2240,5616]/[LCM of 621,8382]= 16/1735074
Therefore, the GCF of 2240/621,5616/8382 is 16/1735074.
To find the highest common factor of 2240,5616, we have to find the factors of both numbers and list the highest common factor.
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
The HCF of 2240,5616 is 16.
Lets's calculate GCF of 2240,5616
| 2 | 2240, 5616 |
| 2 | 1120, 2808 |
| 2 | 560, 1404 |
| 2 | 280, 702 |
| 140, 351 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2240,5616 By Matching Biggest Common Factor Method
Now, list down the factors of 2240
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Now, list down the factors of 5616
:1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616
Greatest Common Factor
We found the factors 2240,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,5616 is 16.
Lets's calculate LCM of 621,8382
| 3 | 621, 8382 |
| 207, 2794 |
∴ So the LCM of the given numbers is 3 x 207 x 2794 = 1735074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1735074
Therefore, the GCF of Fractions 2240/621,5616/8382 is 16/1735074
Least Common Multiple of 621,8382 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 621,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,8382) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,8382) x common factors =3 x 1 = 3
LCM(621,8382) = ( 621 × 8382 ) / 3
LCM(621,8382) = 5205222 / 3
LCM(621,8382) = 1735074
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FAQs on GCF of Fractions of 2240/621, 5616/8382
1. What is the HCF of 2240,5616?
The HCF of 2240,5616 is 16
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 2240/621, 5616/8382?
Answer: GCF of Numerators as per given numbers 2240/621, 5616/8382 is
GCF of Numerators i.e. for 2240,5616 is 16
LCM of denominators i.e. for 621,8382 is 1735074.
Thus, GCF of Fractions is 16/1735074.Finally, GCF of Fractions for 2240/621, 5616/8382 is 16/1735074.