GCF of 1173/845, 5473/1793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1173/845, 5473/1793 i.e 1/1515085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1173/845, 5473/1793.
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 1173/845,5473/1793?
Given fractions are 1173/845,5473/1793
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 1173/845,5473/1793, numerators are 1173,5473
Denominators are 845,1793
The GCF of 1173,5473 is 1 .
LCM of 845,1793 is 1515085.
The greatest common factor of 1173/845,5473/1793 = [GCF of 1173,5473]/[LCM of 845,1793]= 1/1515085
Therefore, the GCF of 1173/845,5473/1793 is 1/1515085.
To find the highest common factor of 1173,5473, we have to find the factors of both numbers and list the highest common factor.
The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173
The factors of 5473 are 1, 13, 421, 5473
The HCF of 1173,5473 is 1.
Lets's calculate GCF of 1173,5473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1173,5473 By Matching Biggest Common Factor Method
Now, list down the factors of 1173
:1,3,17,23,51,69,391,1173
Now, list down the factors of 5473
:1,13,421,5473
Greatest Common Factor
We found the factors 1173,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 1173,5473 is 1.
Lets's calculate LCM of 845,1793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1515085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515085
Therefore, the GCF of Fractions 1173/845,5473/1793 is 1/1515085
Least Common Multiple of 845,1793 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 845,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,1793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,1793) x common factors =1 x 1 = 1
LCM(845,1793) = ( 845 × 1793 ) / 1
LCM(845,1793) = 1515085 / 1
LCM(845,1793) = 1515085
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FAQs on GCF of Fractions of 1173/845, 5473/1793
1. What is the HCF of 1173,5473?
The HCF of 1173,5473 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 1173/845, 5473/1793?
Answer: GCF of Numerators as per given numbers 1173/845, 5473/1793 is
GCF of Numerators i.e. for 1173,5473 is 1
LCM of denominators i.e. for 845,1793 is 1515085.
Thus, GCF of Fractions is 1/1515085.Finally, GCF of Fractions for 1173/845, 5473/1793 is 1/1515085.