GCF of 8173/476, 5487/5030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8173/476, 5487/5030 i.e 1/1197140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8173/476, 5487/5030.
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 8173/476,5487/5030?
Given fractions are 8173/476,5487/5030
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 8173/476,5487/5030, numerators are 8173,5487
Denominators are 476,5030
The GCF of 8173,5487 is 1 .
LCM of 476,5030 is 1197140.
The greatest common factor of 8173/476,5487/5030 = [GCF of 8173,5487]/[LCM of 476,5030]= 1/1197140
Therefore, the GCF of 8173/476,5487/5030 is 1/1197140.
To find the highest common factor of 8173,5487, we have to find the factors of both numbers and list the highest common factor.
The factors of 8173 are 1, 11, 743, 8173
The factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487
The HCF of 8173,5487 is 1.
Lets's calculate GCF of 8173,5487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8173,5487 By Matching Biggest Common Factor Method
Now, list down the factors of 8173
:1,11,743,8173
Now, list down the factors of 5487
:1,3,31,59,93,177,1829,5487
Greatest Common Factor
We found the factors 8173,5487 . The biggest common factor number is the GCF number.
So the greatest common factor 8173,5487 is 1.
Lets's calculate LCM of 476,5030
| 2 | 476, 5030 |
| 238, 2515 |
∴ So the LCM of the given numbers is 2 x 238 x 2515 = 1197140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197140
Therefore, the GCF of Fractions 8173/476,5487/5030 is 1/1197140
Least Common Multiple of 476,5030 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 476,5030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,5030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,5030) x common factors =2 x 1 = 2
LCM(476,5030) = ( 476 × 5030 ) / 2
LCM(476,5030) = 2394280 / 2
LCM(476,5030) = 1197140
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FAQs on GCF of Fractions of 8173/476, 5487/5030
1. What is the HCF of 8173,5487?
The HCF of 8173,5487 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 8173/476, 5487/5030?
Answer: GCF of Numerators as per given numbers 8173/476, 5487/5030 is
GCF of Numerators i.e. for 8173,5487 is 1
LCM of denominators i.e. for 476,5030 is 1197140.
Thus, GCF of Fractions is 1/1197140.Finally, GCF of Fractions for 8173/476, 5487/5030 is 1/1197140.