GCF of 4473/827, 8687/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4473/827, 8687/5155 i.e 7/4263185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4473/827, 8687/5155.
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 4473/827,8687/5155?
Given fractions are 4473/827,8687/5155
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 4473/827,8687/5155, numerators are 4473,8687
Denominators are 827,5155
The GCF of 4473,8687 is 7 .
LCM of 827,5155 is 4263185.
The greatest common factor of 4473/827,8687/5155 = [GCF of 4473,8687]/[LCM of 827,5155]= 7/4263185
Therefore, the GCF of 4473/827,8687/5155 is 7/4263185.
To find the highest common factor of 4473,8687, we have to find the factors of both numbers and list the highest common factor.
The factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473
The factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687
The HCF of 4473,8687 is 7.
Lets's calculate GCF of 4473,8687
| 7 | 4473, 8687 |
| 639, 1241 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4473,8687 By Matching Biggest Common Factor Method
Now, list down the factors of 4473
:1,3,7,9,21,63,71,213,497,639,1491,4473
Now, list down the factors of 8687
:1,7,17,73,119,511,1241,8687
Greatest Common Factor
We found the factors 4473,8687 . The biggest common factor number is the GCF number.
So the greatest common factor 4473,8687 is 7.
Lets's calculate LCM of 827,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 4263185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4263185
Therefore, the GCF of Fractions 4473/827,8687/5155 is 7/4263185
Least Common Multiple of 827,5155 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 827,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5155) x common factors =1 x 1 = 1
LCM(827,5155) = ( 827 × 5155 ) / 1
LCM(827,5155) = 4263185 / 1
LCM(827,5155) = 4263185
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FAQs on GCF of Fractions of 4473/827, 8687/5155
1. What is the HCF of 4473,8687?
The HCF of 4473,8687 is 7
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 4473/827, 8687/5155?
Answer: GCF of Numerators as per given numbers 4473/827, 8687/5155 is
GCF of Numerators i.e. for 4473,8687 is 7
LCM of denominators i.e. for 827,5155 is 4263185.
Thus, GCF of Fractions is 7/4263185.Finally, GCF of Fractions for 4473/827, 8687/5155 is 7/4263185.