GCF of 2240/368, 5006/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2240/368, 5006/744 i.e 2/34224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2240/368, 5006/744.
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 2240/368,5006/744?
Given fractions are 2240/368,5006/744
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 2240/368,5006/744, numerators are 2240,5006
Denominators are 368,744
The GCF of 2240,5006 is 2 .
LCM of 368,744 is 34224.
The greatest common factor of 2240/368,5006/744 = [GCF of 2240,5006]/[LCM of 368,744]= 2/34224
Therefore, the GCF of 2240/368,5006/744 is 2/34224.
To find the highest common factor of 2240,5006, 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 5006 are 1, 2, 2503, 5006
The HCF of 2240,5006 is 2.
Lets's calculate GCF of 2240,5006
| 2 | 2240, 5006 |
| 1120, 2503 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2240,5006 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 5006
:1,2,2503,5006
Greatest Common Factor
We found the factors 2240,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,5006 is 2.
Lets's calculate LCM of 368,744
| 2 | 368, 744 |
| 2 | 184, 372 |
| 2 | 92, 186 |
| 46, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 93 = 34224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34224
Therefore, the GCF of Fractions 2240/368,5006/744 is 2/34224
Least Common Multiple of 368,744 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 368,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,744) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(368,744) x common factors =8 x 1 = 8
LCM(368,744) = ( 368 × 744 ) / 8
LCM(368,744) = 273792 / 8
LCM(368,744) = 34224
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FAQs on GCF of Fractions of 2240/368, 5006/744
1. What is the HCF of 2240,5006?
The HCF of 2240,5006 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 2240/368, 5006/744?
Answer: GCF of Numerators as per given numbers 2240/368, 5006/744 is
GCF of Numerators i.e. for 2240,5006 is 2
LCM of denominators i.e. for 368,744 is 34224.
Thus, GCF of Fractions is 2/34224.Finally, GCF of Fractions for 2240/368, 5006/744 is 2/34224.