GCF of 5584/389, 8944/8213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5584/389, 8944/8213 i.e 16/3194857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5584/389, 8944/8213.
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 5584/389,8944/8213?
Given fractions are 5584/389,8944/8213
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 5584/389,8944/8213, numerators are 5584,8944
Denominators are 389,8213
The GCF of 5584,8944 is 16 .
LCM of 389,8213 is 3194857.
The greatest common factor of 5584/389,8944/8213 = [GCF of 5584,8944]/[LCM of 389,8213]= 16/3194857
Therefore, the GCF of 5584/389,8944/8213 is 16/3194857.
To find the highest common factor of 5584,8944, we have to find the factors of both numbers and list the highest common factor.
The factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584
The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944
The HCF of 5584,8944 is 16.
Lets's calculate GCF of 5584,8944
| 2 | 5584, 8944 |
| 2 | 2792, 4472 |
| 2 | 1396, 2236 |
| 2 | 698, 1118 |
| 349, 559 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5584,8944 By Matching Biggest Common Factor Method
Now, list down the factors of 5584
:1,2,4,8,16,349,698,1396,2792,5584
Now, list down the factors of 8944
:1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944
Greatest Common Factor
We found the factors 5584,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 5584,8944 is 16.
Lets's calculate LCM of 389,8213
Given numbers has no common factors except 1. So, there LCM is their product i.e 3194857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3194857
Therefore, the GCF of Fractions 5584/389,8944/8213 is 16/3194857
Least Common Multiple of 389,8213 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 389,8213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,8213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,8213) x common factors =1 x 1 = 1
LCM(389,8213) = ( 389 × 8213 ) / 1
LCM(389,8213) = 3194857 / 1
LCM(389,8213) = 3194857
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FAQs on GCF of Fractions of 5584/389, 8944/8213
1. What is the HCF of 5584,8944?
The HCF of 5584,8944 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 5584/389, 8944/8213?
Answer: GCF of Numerators as per given numbers 5584/389, 8944/8213 is
GCF of Numerators i.e. for 5584,8944 is 16
LCM of denominators i.e. for 389,8213 is 3194857.
Thus, GCF of Fractions is 16/3194857.Finally, GCF of Fractions for 5584/389, 8944/8213 is 16/3194857.