GCF of 4645/728, 2240/9576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4645/728, 2240/9576 i.e 5/124488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4645/728, 2240/9576.
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 4645/728,2240/9576?
Given fractions are 4645/728,2240/9576
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 4645/728,2240/9576, numerators are 4645,2240
Denominators are 728,9576
The GCF of 4645,2240 is 5 .
LCM of 728,9576 is 124488.
The greatest common factor of 4645/728,2240/9576 = [GCF of 4645,2240]/[LCM of 728,9576]= 5/124488
Therefore, the GCF of 4645/728,2240/9576 is 5/124488.
To find the highest common factor of 4645,2240, we have to find the factors of both numbers and list the highest common factor.
The factors of 4645 are 1, 5, 929, 4645
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 HCF of 4645,2240 is 5.
Lets's calculate GCF of 4645,2240
| 5 | 4645, 2240 |
| 929, 448 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4645,2240 By Matching Biggest Common Factor Method
Now, list down the factors of 4645
:1,5,929,4645
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
Greatest Common Factor
We found the factors 4645,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 4645,2240 is 5.
Lets's calculate LCM of 728,9576
| 2 | 728, 9576 |
| 2 | 364, 4788 |
| 2 | 182, 2394 |
| 7 | 91, 1197 |
| 13, 171 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 171 = 124488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/124488
Therefore, the GCF of Fractions 4645/728,2240/9576 is 5/124488
Least Common Multiple of 728,9576 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 728,9576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,9576) = 56
common factors(in case of two or more numbers have common factors) = 1
GCF(728,9576) x common factors =56 x 1 = 56
LCM(728,9576) = ( 728 × 9576 ) / 56
LCM(728,9576) = 6971328 / 56
LCM(728,9576) = 124488
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FAQs on GCF of Fractions of 4645/728, 2240/9576
1. What is the HCF of 4645,2240?
The HCF of 4645,2240 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 4645/728, 2240/9576?
Answer: GCF of Numerators as per given numbers 4645/728, 2240/9576 is
GCF of Numerators i.e. for 4645,2240 is 5
LCM of denominators i.e. for 728,9576 is 124488.
Thus, GCF of Fractions is 5/124488.Finally, GCF of Fractions for 4645/728, 2240/9576 is 5/124488.