GCF of 2898/527, 8175/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2898/527, 8175/499 i.e 3/262973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2898/527, 8175/499.
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 2898/527,8175/499?
Given fractions are 2898/527,8175/499
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 2898/527,8175/499, numerators are 2898,8175
Denominators are 527,499
The GCF of 2898,8175 is 3 .
LCM of 527,499 is 262973.
The greatest common factor of 2898/527,8175/499 = [GCF of 2898,8175]/[LCM of 527,499]= 3/262973
Therefore, the GCF of 2898/527,8175/499 is 3/262973.
To find the highest common factor of 2898,8175, we have to find the factors of both numbers and list the highest common factor.
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The HCF of 2898,8175 is 3.
Lets's calculate GCF of 2898,8175
| 3 | 2898, 8175 |
| 966, 2725 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2898,8175 By Matching Biggest Common Factor Method
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Greatest Common Factor
We found the factors 2898,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,8175 is 3.
Lets's calculate LCM of 527,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 262973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/262973
Therefore, the GCF of Fractions 2898/527,8175/499 is 3/262973
Least Common Multiple of 527,499 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 527,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,499) x common factors =1 x 1 = 1
LCM(527,499) = ( 527 × 499 ) / 1
LCM(527,499) = 262973 / 1
LCM(527,499) = 262973
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FAQs on GCF of Fractions of 2898/527, 8175/499
1. What is the HCF of 2898,8175?
The HCF of 2898,8175 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 2898/527, 8175/499?
Answer: GCF of Numerators as per given numbers 2898/527, 8175/499 is
GCF of Numerators i.e. for 2898,8175 is 3
LCM of denominators i.e. for 527,499 is 262973.
Thus, GCF of Fractions is 3/262973.Finally, GCF of Fractions for 2898/527, 8175/499 is 3/262973.