GCF of 5401/475, 6174/1301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5401/475, 6174/1301 i.e 1/617975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5401/475, 6174/1301.
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 5401/475,6174/1301?
Given fractions are 5401/475,6174/1301
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 5401/475,6174/1301, numerators are 5401,6174
Denominators are 475,1301
The GCF of 5401,6174 is 1 .
LCM of 475,1301 is 617975.
The greatest common factor of 5401/475,6174/1301 = [GCF of 5401,6174]/[LCM of 475,1301]= 1/617975
Therefore, the GCF of 5401/475,6174/1301 is 1/617975.
To find the highest common factor of 5401,6174, we have to find the factors of both numbers and list the highest common factor.
The factors of 5401 are 1, 11, 491, 5401
The factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174
The HCF of 5401,6174 is 1.
Lets's calculate GCF of 5401,6174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5401,6174 By Matching Biggest Common Factor Method
Now, list down the factors of 5401
:1,11,491,5401
Now, list down the factors of 6174
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174
Greatest Common Factor
We found the factors 5401,6174 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,6174 is 1.
Lets's calculate LCM of 475,1301
Given numbers has no common factors except 1. So, there LCM is their product i.e 617975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617975
Therefore, the GCF of Fractions 5401/475,6174/1301 is 1/617975
Least Common Multiple of 475,1301 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 475,1301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,1301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,1301) x common factors =1 x 1 = 1
LCM(475,1301) = ( 475 × 1301 ) / 1
LCM(475,1301) = 617975 / 1
LCM(475,1301) = 617975
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FAQs on GCF of Fractions of 5401/475, 6174/1301
1. What is the HCF of 5401,6174?
The HCF of 5401,6174 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 5401/475, 6174/1301?
Answer: GCF of Numerators as per given numbers 5401/475, 6174/1301 is
GCF of Numerators i.e. for 5401,6174 is 1
LCM of denominators i.e. for 475,1301 is 617975.
Thus, GCF of Fractions is 1/617975.Finally, GCF of Fractions for 5401/475, 6174/1301 is 1/617975.