GCF of 7557/517, 1791/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7557/517, 1791/345 i.e 3/178365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7557/517, 1791/345.
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 7557/517,1791/345?
Given fractions are 7557/517,1791/345
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 7557/517,1791/345, numerators are 7557,1791
Denominators are 517,345
The GCF of 7557,1791 is 3 .
LCM of 517,345 is 178365.
The greatest common factor of 7557/517,1791/345 = [GCF of 7557,1791]/[LCM of 517,345]= 3/178365
Therefore, the GCF of 7557/517,1791/345 is 3/178365.
To find the highest common factor of 7557,1791, we have to find the factors of both numbers and list the highest common factor.
The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557
The factors of 1791 are 1, 3, 9, 199, 597, 1791
The HCF of 7557,1791 is 3.
Lets's calculate GCF of 7557,1791
| 3 | 7557, 1791 |
| 2519, 597 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7557,1791 By Matching Biggest Common Factor Method
Now, list down the factors of 7557
:1,3,11,33,229,687,2519,7557
Now, list down the factors of 1791
:1,3,9,199,597,1791
Greatest Common Factor
We found the factors 7557,1791 . The biggest common factor number is the GCF number.
So the greatest common factor 7557,1791 is 3.
Lets's calculate LCM of 517,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 178365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178365
Therefore, the GCF of Fractions 7557/517,1791/345 is 3/178365
Least Common Multiple of 517,345 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 517,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,345) x common factors =1 x 1 = 1
LCM(517,345) = ( 517 × 345 ) / 1
LCM(517,345) = 178365 / 1
LCM(517,345) = 178365
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FAQs on GCF of Fractions of 7557/517, 1791/345
1. What is the HCF of 7557,1791?
The HCF of 7557,1791 is 3
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 7557/517, 1791/345?
Answer: GCF of Numerators as per given numbers 7557/517, 1791/345 is
GCF of Numerators i.e. for 7557,1791 is 3
LCM of denominators i.e. for 517,345 is 178365.
Thus, GCF of Fractions is 3/178365.Finally, GCF of Fractions for 7557/517, 1791/345 is 3/178365.