GCF of 9053/589, 6235/7631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9053/589, 6235/7631 i.e 1/4494659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9053/589, 6235/7631.
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 9053/589,6235/7631?
Given fractions are 9053/589,6235/7631
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 9053/589,6235/7631, numerators are 9053,6235
Denominators are 589,7631
The GCF of 9053,6235 is 1 .
LCM of 589,7631 is 4494659.
The greatest common factor of 9053/589,6235/7631 = [GCF of 9053,6235]/[LCM of 589,7631]= 1/4494659
Therefore, the GCF of 9053/589,6235/7631 is 1/4494659.
To find the highest common factor of 9053,6235, we have to find the factors of both numbers and list the highest common factor.
The factors of 9053 are 1, 11, 823, 9053
The factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235
The HCF of 9053,6235 is 1.
Lets's calculate GCF of 9053,6235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9053,6235 By Matching Biggest Common Factor Method
Now, list down the factors of 9053
:1,11,823,9053
Now, list down the factors of 6235
:1,5,29,43,145,215,1247,6235
Greatest Common Factor
We found the factors 9053,6235 . The biggest common factor number is the GCF number.
So the greatest common factor 9053,6235 is 1.
Lets's calculate LCM of 589,7631
Given numbers has no common factors except 1. So, there LCM is their product i.e 4494659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4494659
Therefore, the GCF of Fractions 9053/589,6235/7631 is 1/4494659
Least Common Multiple of 589,7631 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 589,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,7631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,7631) x common factors =1 x 1 = 1
LCM(589,7631) = ( 589 × 7631 ) / 1
LCM(589,7631) = 4494659 / 1
LCM(589,7631) = 4494659
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FAQs on GCF of Fractions of 9053/589, 6235/7631
1. What is the HCF of 9053,6235?
The HCF of 9053,6235 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 9053/589, 6235/7631?
Answer: GCF of Numerators as per given numbers 9053/589, 6235/7631 is
GCF of Numerators i.e. for 9053,6235 is 1
LCM of denominators i.e. for 589,7631 is 4494659.
Thus, GCF of Fractions is 1/4494659.Finally, GCF of Fractions for 9053/589, 6235/7631 is 1/4494659.