GCF of 5749/371, 6543/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5749/371, 6543/153 i.e 1/56763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5749/371, 6543/153.
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 5749/371,6543/153?
Given fractions are 5749/371,6543/153
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 5749/371,6543/153, numerators are 5749,6543
Denominators are 371,153
The GCF of 5749,6543 is 1 .
LCM of 371,153 is 56763.
The greatest common factor of 5749/371,6543/153 = [GCF of 5749,6543]/[LCM of 371,153]= 1/56763
Therefore, the GCF of 5749/371,6543/153 is 1/56763.
To find the highest common factor of 5749,6543, we have to find the factors of both numbers and list the highest common factor.
The factors of 5749 are 1, 5749
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The HCF of 5749,6543 is 1.
Lets's calculate GCF of 5749,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5749,6543 By Matching Biggest Common Factor Method
Now, list down the factors of 5749
:1,5749
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 5749,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 5749,6543 is 1.
Lets's calculate LCM of 371,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 56763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56763
Therefore, the GCF of Fractions 5749/371,6543/153 is 1/56763
Least Common Multiple of 371,153 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 371,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,153) x common factors =1 x 1 = 1
LCM(371,153) = ( 371 × 153 ) / 1
LCM(371,153) = 56763 / 1
LCM(371,153) = 56763
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FAQs on GCF of Fractions of 5749/371, 6543/153
1. What is the HCF of 5749,6543?
The HCF of 5749,6543 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 5749/371, 6543/153?
Answer: GCF of Numerators as per given numbers 5749/371, 6543/153 is
GCF of Numerators i.e. for 5749,6543 is 1
LCM of denominators i.e. for 371,153 is 56763.
Thus, GCF of Fractions is 1/56763.Finally, GCF of Fractions for 5749/371, 6543/153 is 1/56763.