GCF of 6438/934, 5269/855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6438/934, 5269/855 i.e 1/798570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6438/934, 5269/855.
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 6438/934,5269/855?
Given fractions are 6438/934,5269/855
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 6438/934,5269/855, numerators are 6438,5269
Denominators are 934,855
The GCF of 6438,5269 is 1 .
LCM of 934,855 is 798570.
The greatest common factor of 6438/934,5269/855 = [GCF of 6438,5269]/[LCM of 934,855]= 1/798570
Therefore, the GCF of 6438/934,5269/855 is 1/798570.
To find the highest common factor of 6438,5269, we have to find the factors of both numbers and list the highest common factor.
The factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438
The factors of 5269 are 1, 11, 479, 5269
The HCF of 6438,5269 is 1.
Lets's calculate GCF of 6438,5269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6438,5269 By Matching Biggest Common Factor Method
Now, list down the factors of 6438
:1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438
Now, list down the factors of 5269
:1,11,479,5269
Greatest Common Factor
We found the factors 6438,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 6438,5269 is 1.
Lets's calculate LCM of 934,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 798570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798570
Therefore, the GCF of Fractions 6438/934,5269/855 is 1/798570
Least Common Multiple of 934,855 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 934,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,855) x common factors =1 x 1 = 1
LCM(934,855) = ( 934 × 855 ) / 1
LCM(934,855) = 798570 / 1
LCM(934,855) = 798570
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FAQs on GCF of Fractions of 6438/934, 5269/855
1. What is the HCF of 6438,5269?
The HCF of 6438,5269 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 6438/934, 5269/855?
Answer: GCF of Numerators as per given numbers 6438/934, 5269/855 is
GCF of Numerators i.e. for 6438,5269 is 1
LCM of denominators i.e. for 934,855 is 798570.
Thus, GCF of Fractions is 1/798570.Finally, GCF of Fractions for 6438/934, 5269/855 is 1/798570.