GCF of 8840/638, 8445/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8840/638, 8445/784 i.e 5/250096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/638, 8445/784.
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 8840/638,8445/784?
Given fractions are 8840/638,8445/784
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 8840/638,8445/784, numerators are 8840,8445
Denominators are 638,784
The GCF of 8840,8445 is 5 .
LCM of 638,784 is 250096.
The greatest common factor of 8840/638,8445/784 = [GCF of 8840,8445]/[LCM of 638,784]= 5/250096
Therefore, the GCF of 8840/638,8445/784 is 5/250096.
To find the highest common factor of 8840,8445, we have to find the factors of both numbers and list the highest common factor.
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445
The HCF of 8840,8445 is 5.
Lets's calculate GCF of 8840,8445
| 5 | 8840, 8445 |
| 1768, 1689 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8840,8445 By Matching Biggest Common Factor Method
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Now, list down the factors of 8445
:1,3,5,15,563,1689,2815,8445
Greatest Common Factor
We found the factors 8840,8445 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,8445 is 5.
Lets's calculate LCM of 638,784
| 2 | 638, 784 |
| 319, 392 |
∴ So the LCM of the given numbers is 2 x 319 x 392 = 250096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/250096
Therefore, the GCF of Fractions 8840/638,8445/784 is 5/250096
Least Common Multiple of 638,784 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 638,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,784) x common factors =2 x 1 = 2
LCM(638,784) = ( 638 × 784 ) / 2
LCM(638,784) = 500192 / 2
LCM(638,784) = 250096
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FAQs on GCF of Fractions of 8840/638, 8445/784
1. What is the HCF of 8840,8445?
The HCF of 8840,8445 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 8840/638, 8445/784?
Answer: GCF of Numerators as per given numbers 8840/638, 8445/784 is
GCF of Numerators i.e. for 8840,8445 is 5
LCM of denominators i.e. for 638,784 is 250096.
Thus, GCF of Fractions is 5/250096.Finally, GCF of Fractions for 8840/638, 8445/784 is 5/250096.