GCF of 8174/146, 7553/1728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8174/146, 7553/1728 i.e 1/126144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8174/146, 7553/1728.
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 8174/146,7553/1728?
Given fractions are 8174/146,7553/1728
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 8174/146,7553/1728, numerators are 8174,7553
Denominators are 146,1728
The GCF of 8174,7553 is 1 .
LCM of 146,1728 is 126144.
The greatest common factor of 8174/146,7553/1728 = [GCF of 8174,7553]/[LCM of 146,1728]= 1/126144
Therefore, the GCF of 8174/146,7553/1728 is 1/126144.
To find the highest common factor of 8174,7553, we have to find the factors of both numbers and list the highest common factor.
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The HCF of 8174,7553 is 1.
Lets's calculate GCF of 8174,7553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8174,7553 By Matching Biggest Common Factor Method
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Greatest Common Factor
We found the factors 8174,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,7553 is 1.
Lets's calculate LCM of 146,1728
| 2 | 146, 1728 |
| 73, 864 |
∴ So the LCM of the given numbers is 2 x 73 x 864 = 126144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126144
Therefore, the GCF of Fractions 8174/146,7553/1728 is 1/126144
Least Common Multiple of 146,1728 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 146,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,1728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,1728) x common factors =2 x 1 = 2
LCM(146,1728) = ( 146 × 1728 ) / 2
LCM(146,1728) = 252288 / 2
LCM(146,1728) = 126144
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FAQs on GCF of Fractions of 8174/146, 7553/1728
1. What is the HCF of 8174,7553?
The HCF of 8174,7553 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 8174/146, 7553/1728?
Answer: GCF of Numerators as per given numbers 8174/146, 7553/1728 is
GCF of Numerators i.e. for 8174,7553 is 1
LCM of denominators i.e. for 146,1728 is 126144.
Thus, GCF of Fractions is 1/126144.Finally, GCF of Fractions for 8174/146, 7553/1728 is 1/126144.