GCF of 6563/862, 5938/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6563/862, 5938/349 i.e 1/300838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6563/862, 5938/349.
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 6563/862,5938/349?
Given fractions are 6563/862,5938/349
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 6563/862,5938/349, numerators are 6563,5938
Denominators are 862,349
The GCF of 6563,5938 is 1 .
LCM of 862,349 is 300838.
The greatest common factor of 6563/862,5938/349 = [GCF of 6563,5938]/[LCM of 862,349]= 1/300838
Therefore, the GCF of 6563/862,5938/349 is 1/300838.
To find the highest common factor of 6563,5938, we have to find the factors of both numbers and list the highest common factor.
The factors of 6563 are 1, 6563
The factors of 5938 are 1, 2, 2969, 5938
The HCF of 6563,5938 is 1.
Lets's calculate GCF of 6563,5938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6563,5938 By Matching Biggest Common Factor Method
Now, list down the factors of 6563
:1,6563
Now, list down the factors of 5938
:1,2,2969,5938
Greatest Common Factor
We found the factors 6563,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 6563,5938 is 1.
Lets's calculate LCM of 862,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 300838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300838
Therefore, the GCF of Fractions 6563/862,5938/349 is 1/300838
Least Common Multiple of 862,349 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 862,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,349) x common factors =1 x 1 = 1
LCM(862,349) = ( 862 × 349 ) / 1
LCM(862,349) = 300838 / 1
LCM(862,349) = 300838
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FAQs on GCF of Fractions of 6563/862, 5938/349
1. What is the HCF of 6563,5938?
The HCF of 6563,5938 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 6563/862, 5938/349?
Answer: GCF of Numerators as per given numbers 6563/862, 5938/349 is
GCF of Numerators i.e. for 6563,5938 is 1
LCM of denominators i.e. for 862,349 is 300838.
Thus, GCF of Fractions is 1/300838.Finally, GCF of Fractions for 6563/862, 5938/349 is 1/300838.