GCF of 6826/539, 5566/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6826/539, 5566/501 i.e 2/270039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6826/539, 5566/501.
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 6826/539,5566/501?
Given fractions are 6826/539,5566/501
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 6826/539,5566/501, numerators are 6826,5566
Denominators are 539,501
The GCF of 6826,5566 is 2 .
LCM of 539,501 is 270039.
The greatest common factor of 6826/539,5566/501 = [GCF of 6826,5566]/[LCM of 539,501]= 2/270039
Therefore, the GCF of 6826/539,5566/501 is 2/270039.
To find the highest common factor of 6826,5566, we have to find the factors of both numbers and list the highest common factor.
The factors of 6826 are 1, 2, 3413, 6826
The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566
The HCF of 6826,5566 is 2.
Lets's calculate GCF of 6826,5566
| 2 | 6826, 5566 |
| 3413, 2783 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6826,5566 By Matching Biggest Common Factor Method
Now, list down the factors of 6826
:1,2,3413,6826
Now, list down the factors of 5566
:1,2,11,22,23,46,121,242,253,506,2783,5566
Greatest Common Factor
We found the factors 6826,5566 . The biggest common factor number is the GCF number.
So the greatest common factor 6826,5566 is 2.
Lets's calculate LCM of 539,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 270039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270039
Therefore, the GCF of Fractions 6826/539,5566/501 is 2/270039
Least Common Multiple of 539,501 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 539,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,501) x common factors =1 x 1 = 1
LCM(539,501) = ( 539 × 501 ) / 1
LCM(539,501) = 270039 / 1
LCM(539,501) = 270039
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FAQs on GCF of Fractions of 6826/539, 5566/501
1. What is the HCF of 6826,5566?
The HCF of 6826,5566 is 2
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 6826/539, 5566/501?
Answer: GCF of Numerators as per given numbers 6826/539, 5566/501 is
GCF of Numerators i.e. for 6826,5566 is 2
LCM of denominators i.e. for 539,501 is 270039.
Thus, GCF of Fractions is 2/270039.Finally, GCF of Fractions for 6826/539, 5566/501 is 2/270039.