GCF of 5773/339, 2626/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5773/339, 2626/838 i.e 1/284082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5773/339, 2626/838.
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 5773/339,2626/838?
Given fractions are 5773/339,2626/838
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 5773/339,2626/838, numerators are 5773,2626
Denominators are 339,838
The GCF of 5773,2626 is 1 .
LCM of 339,838 is 284082.
The greatest common factor of 5773/339,2626/838 = [GCF of 5773,2626]/[LCM of 339,838]= 1/284082
Therefore, the GCF of 5773/339,2626/838 is 1/284082.
To find the highest common factor of 5773,2626, we have to find the factors of both numbers and list the highest common factor.
The factors of 5773 are 1, 23, 251, 5773
The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626
The HCF of 5773,2626 is 1.
Lets's calculate GCF of 5773,2626
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5773,2626 By Matching Biggest Common Factor Method
Now, list down the factors of 5773
:1,23,251,5773
Now, list down the factors of 2626
:1,2,13,26,101,202,1313,2626
Greatest Common Factor
We found the factors 5773,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 5773,2626 is 1.
Lets's calculate LCM of 339,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 284082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284082
Therefore, the GCF of Fractions 5773/339,2626/838 is 1/284082
Least Common Multiple of 339,838 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 339,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,838) x common factors =1 x 1 = 1
LCM(339,838) = ( 339 × 838 ) / 1
LCM(339,838) = 284082 / 1
LCM(339,838) = 284082
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FAQs on GCF of Fractions of 5773/339, 2626/838
1. What is the HCF of 5773,2626?
The HCF of 5773,2626 is 1
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 5773/339, 2626/838?
Answer: GCF of Numerators as per given numbers 5773/339, 2626/838 is
GCF of Numerators i.e. for 5773,2626 is 1
LCM of denominators i.e. for 339,838 is 284082.
Thus, GCF of Fractions is 1/284082.Finally, GCF of Fractions for 5773/339, 2626/838 is 1/284082.