GCF of 5566/569, 5612/569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5566/569, 5612/569 i.e 46/569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5566/569, 5612/569.
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 5566/569,5612/569?
Given fractions are 5566/569,5612/569
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 5566/569,5612/569, numerators are 5566,5612
Denominators are 569,569
The GCF of 5566,5612 is 46 .
LCM of 569,569 is 569.
The greatest common factor of 5566/569,5612/569 = [GCF of 5566,5612]/[LCM of 569,569]= 46/569
Therefore, the GCF of 5566/569,5612/569 is 46/569.
To find the highest common factor of 5566,5612, we have to find the factors of both numbers and list the highest common factor.
The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The HCF of 5566,5612 is 46.
Lets's calculate GCF of 5566,5612
| 2 | 5566, 5612 |
| 23 | 2783, 2806 |
| 121, 122 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 5566,5612 By Matching Biggest Common Factor Method
Now, list down the factors of 5566
:1,2,11,22,23,46,121,242,253,506,2783,5566
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Greatest Common Factor
We found the factors 5566,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 5566,5612 is 46.
Lets's calculate LCM of 569,569
| 569 | 569, 569 |
| 1, 1 |
∴ So the LCM of the given numbers is 569 x 1 x 1 = 569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/569
Therefore, the GCF of Fractions 5566/569,5612/569 is 46/569
Least Common Multiple of 569,569 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 569,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,569) = 569
common factors(in case of two or more numbers have common factors) = 1
GCF(569,569) x common factors =569 x 1 = 569
LCM(569,569) = ( 569 × 569 ) / 569
LCM(569,569) = 323761 / 569
LCM(569,569) = 569
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FAQs on GCF of Fractions of 5566/569, 5612/569
1. What is the HCF of 5566,5612?
The HCF of 5566,5612 is 46
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 5566/569, 5612/569?
Answer: GCF of Numerators as per given numbers 5566/569, 5612/569 is
GCF of Numerators i.e. for 5566,5612 is 46
LCM of denominators i.e. for 569,569 is 569.
Thus, GCF of Fractions is 46/569.Finally, GCF of Fractions for 5566/569, 5612/569 is 46/569.