GCF of 5568/793, 5900/6648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5568/793, 5900/6648 i.e 4/5271864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5568/793, 5900/6648.
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 5568/793,5900/6648?
Given fractions are 5568/793,5900/6648
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 5568/793,5900/6648, numerators are 5568,5900
Denominators are 793,6648
The GCF of 5568,5900 is 4 .
LCM of 793,6648 is 5271864.
The greatest common factor of 5568/793,5900/6648 = [GCF of 5568,5900]/[LCM of 793,6648]= 4/5271864
Therefore, the GCF of 5568/793,5900/6648 is 4/5271864.
To find the highest common factor of 5568,5900, we have to find the factors of both numbers and list the highest common factor.
The factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568
The factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
The HCF of 5568,5900 is 4.
Lets's calculate GCF of 5568,5900
| 2 | 5568, 5900 |
| 2 | 2784, 2950 |
| 1392, 1475 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5568,5900 By Matching Biggest Common Factor Method
Now, list down the factors of 5568
:1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Now, list down the factors of 5900
:1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Greatest Common Factor
We found the factors 5568,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 5568,5900 is 4.
Lets's calculate LCM of 793,6648
Given numbers has no common factors except 1. So, there LCM is their product i.e 5271864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5271864
Therefore, the GCF of Fractions 5568/793,5900/6648 is 4/5271864
Least Common Multiple of 793,6648 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 793,6648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,6648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,6648) x common factors =1 x 1 = 1
LCM(793,6648) = ( 793 × 6648 ) / 1
LCM(793,6648) = 5271864 / 1
LCM(793,6648) = 5271864
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FAQs on GCF of Fractions of 5568/793, 5900/6648
1. What is the HCF of 5568,5900?
The HCF of 5568,5900 is 4
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 5568/793, 5900/6648?
Answer: GCF of Numerators as per given numbers 5568/793, 5900/6648 is
GCF of Numerators i.e. for 5568,5900 is 4
LCM of denominators i.e. for 793,6648 is 5271864.
Thus, GCF of Fractions is 4/5271864.Finally, GCF of Fractions for 5568/793, 5900/6648 is 4/5271864.