GCF of 5436/743, 8401/9039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5436/743, 8401/9039 i.e 1/6715977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5436/743, 8401/9039.
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 5436/743,8401/9039?
Given fractions are 5436/743,8401/9039
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 5436/743,8401/9039, numerators are 5436,8401
Denominators are 743,9039
The GCF of 5436,8401 is 1 .
LCM of 743,9039 is 6715977.
The greatest common factor of 5436/743,8401/9039 = [GCF of 5436,8401]/[LCM of 743,9039]= 1/6715977
Therefore, the GCF of 5436/743,8401/9039 is 1/6715977.
To find the highest common factor of 5436,8401, we have to find the factors of both numbers and list the highest common factor.
The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436
The factors of 8401 are 1, 31, 271, 8401
The HCF of 5436,8401 is 1.
Lets's calculate GCF of 5436,8401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5436,8401 By Matching Biggest Common Factor Method
Now, list down the factors of 5436
:1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Now, list down the factors of 8401
:1,31,271,8401
Greatest Common Factor
We found the factors 5436,8401 . The biggest common factor number is the GCF number.
So the greatest common factor 5436,8401 is 1.
Lets's calculate LCM of 743,9039
Given numbers has no common factors except 1. So, there LCM is their product i.e 6715977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6715977
Therefore, the GCF of Fractions 5436/743,8401/9039 is 1/6715977
Least Common Multiple of 743,9039 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 743,9039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,9039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,9039) x common factors =1 x 1 = 1
LCM(743,9039) = ( 743 × 9039 ) / 1
LCM(743,9039) = 6715977 / 1
LCM(743,9039) = 6715977
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FAQs on GCF of Fractions of 5436/743, 8401/9039
1. What is the HCF of 5436,8401?
The HCF of 5436,8401 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 5436/743, 8401/9039?
Answer: GCF of Numerators as per given numbers 5436/743, 8401/9039 is
GCF of Numerators i.e. for 5436,8401 is 1
LCM of denominators i.e. for 743,9039 is 6715977.
Thus, GCF of Fractions is 1/6715977.Finally, GCF of Fractions for 5436/743, 8401/9039 is 1/6715977.