GCF of 5938/738, 5799/9029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5938/738, 5799/9029 i.e 1/6663402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5938/738, 5799/9029.
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 5938/738,5799/9029?
Given fractions are 5938/738,5799/9029
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 5938/738,5799/9029, numerators are 5938,5799
Denominators are 738,9029
The GCF of 5938,5799 is 1 .
LCM of 738,9029 is 6663402.
The greatest common factor of 5938/738,5799/9029 = [GCF of 5938,5799]/[LCM of 738,9029]= 1/6663402
Therefore, the GCF of 5938/738,5799/9029 is 1/6663402.
To find the highest common factor of 5938,5799, we have to find the factors of both numbers and list the highest common factor.
The factors of 5938 are 1, 2, 2969, 5938
The factors of 5799 are 1, 3, 1933, 5799
The HCF of 5938,5799 is 1.
Lets's calculate GCF of 5938,5799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5938,5799 By Matching Biggest Common Factor Method
Now, list down the factors of 5938
:1,2,2969,5938
Now, list down the factors of 5799
:1,3,1933,5799
Greatest Common Factor
We found the factors 5938,5799 . The biggest common factor number is the GCF number.
So the greatest common factor 5938,5799 is 1.
Lets's calculate LCM of 738,9029
Given numbers has no common factors except 1. So, there LCM is their product i.e 6663402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6663402
Therefore, the GCF of Fractions 5938/738,5799/9029 is 1/6663402
Least Common Multiple of 738,9029 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 738,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,9029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,9029) x common factors =1 x 1 = 1
LCM(738,9029) = ( 738 × 9029 ) / 1
LCM(738,9029) = 6663402 / 1
LCM(738,9029) = 6663402
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FAQs on GCF of Fractions of 5938/738, 5799/9029
1. What is the HCF of 5938,5799?
The HCF of 5938,5799 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 5938/738, 5799/9029?
Answer: GCF of Numerators as per given numbers 5938/738, 5799/9029 is
GCF of Numerators i.e. for 5938,5799 is 1
LCM of denominators i.e. for 738,9029 is 6663402.
Thus, GCF of Fractions is 1/6663402.Finally, GCF of Fractions for 5938/738, 5799/9029 is 1/6663402.