GCF of 6289/903, 8839/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6289/903, 8839/472 i.e 1/426216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6289/903, 8839/472.
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 6289/903,8839/472?
Given fractions are 6289/903,8839/472
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 6289/903,8839/472, numerators are 6289,8839
Denominators are 903,472
The GCF of 6289,8839 is 1 .
LCM of 903,472 is 426216.
The greatest common factor of 6289/903,8839/472 = [GCF of 6289,8839]/[LCM of 903,472]= 1/426216
Therefore, the GCF of 6289/903,8839/472 is 1/426216.
To find the highest common factor of 6289,8839, we have to find the factors of both numbers and list the highest common factor.
The factors of 6289 are 1, 19, 331, 6289
The factors of 8839 are 1, 8839
The HCF of 6289,8839 is 1.
Lets's calculate GCF of 6289,8839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6289,8839 By Matching Biggest Common Factor Method
Now, list down the factors of 6289
:1,19,331,6289
Now, list down the factors of 8839
:1,8839
Greatest Common Factor
We found the factors 6289,8839 . The biggest common factor number is the GCF number.
So the greatest common factor 6289,8839 is 1.
Lets's calculate LCM of 903,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 426216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426216
Therefore, the GCF of Fractions 6289/903,8839/472 is 1/426216
Least Common Multiple of 903,472 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 903,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,472) x common factors =1 x 1 = 1
LCM(903,472) = ( 903 × 472 ) / 1
LCM(903,472) = 426216 / 1
LCM(903,472) = 426216
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FAQs on GCF of Fractions of 6289/903, 8839/472
1. What is the HCF of 6289,8839?
The HCF of 6289,8839 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 6289/903, 8839/472?
Answer: GCF of Numerators as per given numbers 6289/903, 8839/472 is
GCF of Numerators i.e. for 6289,8839 is 1
LCM of denominators i.e. for 903,472 is 426216.
Thus, GCF of Fractions is 1/426216.Finally, GCF of Fractions for 6289/903, 8839/472 is 1/426216.