GCF of 5381/704, 1173/7465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5381/704, 1173/7465 i.e 1/5255360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/704, 1173/7465.
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 5381/704,1173/7465?
Given fractions are 5381/704,1173/7465
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 5381/704,1173/7465, numerators are 5381,1173
Denominators are 704,7465
The GCF of 5381,1173 is 1 .
LCM of 704,7465 is 5255360.
The greatest common factor of 5381/704,1173/7465 = [GCF of 5381,1173]/[LCM of 704,7465]= 1/5255360
Therefore, the GCF of 5381/704,1173/7465 is 1/5255360.
To find the highest common factor of 5381,1173, we have to find the factors of both numbers and list the highest common factor.
The factors of 5381 are 1, 5381
The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, 1173
The HCF of 5381,1173 is 1.
Lets's calculate GCF of 5381,1173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5381,1173 By Matching Biggest Common Factor Method
Now, list down the factors of 5381
:1,5381
Now, list down the factors of 1173
:1,3,17,23,51,69,391,1173
Greatest Common Factor
We found the factors 5381,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,1173 is 1.
Lets's calculate LCM of 704,7465
Given numbers has no common factors except 1. So, there LCM is their product i.e 5255360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5255360
Therefore, the GCF of Fractions 5381/704,1173/7465 is 1/5255360
Least Common Multiple of 704,7465 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 704,7465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,7465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,7465) x common factors =1 x 1 = 1
LCM(704,7465) = ( 704 × 7465 ) / 1
LCM(704,7465) = 5255360 / 1
LCM(704,7465) = 5255360
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FAQs on GCF of Fractions of 5381/704, 1173/7465
1. What is the HCF of 5381,1173?
The HCF of 5381,1173 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 5381/704, 1173/7465?
Answer: GCF of Numerators as per given numbers 5381/704, 1173/7465 is
GCF of Numerators i.e. for 5381,1173 is 1
LCM of denominators i.e. for 704,7465 is 5255360.
Thus, GCF of Fractions is 1/5255360.Finally, GCF of Fractions for 5381/704, 1173/7465 is 1/5255360.