GCF of 99/174, 81/525, 615/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/174, 81/525, 615/595 i.e 3/517650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/174, 81/525, 615/595.
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 99/174,81/525,615/595?
Given fractions are 99/174,81/525,615/595
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 99/174,81/525,615/595, numerators are 99,81,615
Denominators are 174,525,595
The GCF of 99,81,615 is 3 .
LCM of 174,525,595 is 517650.
The greatest common factor of 99/174,81/525,615/595 = [GCF of 99,81,615]/[LCM of 174,525,595]= 3/517650
Therefore, the GCF of 99/174,81/525,615/595 is 3/517650.
To find the highest common factor of 99,81,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 81 are 1, 3, 9, 27, 81
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 99,81,615 is 3.
Lets's calculate GCF of 99,81,615
| 3 | 99, 81, 615 |
| 33, 27, 205 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,81,615 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 99,81,615 . The biggest common factor number is the GCF number.
So the greatest common factor 99,81,615 is 3.
Lets's calculate LCM of 174,525,595
| 3 | 174, 525, 595 |
| 5 | 58, 175, 595 |
| 7 | 58, 35, 119 |
| 58, 5, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 58 x 5 x 17 = 517650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/517650
Therefore, the GCF of Fractions 99/174,81/525,615/595 is 3/517650
Least Common Multiple of 174,525,595 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 174,525,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,525,595) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(174,525,595) x common factors =1 x 105 = 105
LCM(174,525,595) = ( 174 × 525 × 595 ) / 105
LCM(174,525,595) = 54353250 / 105
LCM(174,525,595) = 517650
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FAQs on GCF of Fractions of 99/174, 81/525, 615/595
1. What is the HCF of 99,81,615?
The HCF of 99,81,615 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 99/174, 81/525, 615/595?
Answer: GCF of Numerators as per given numbers 99/174, 81/525, 615/595 is
GCF of Numerators i.e. for 99,81,615 is 3
LCM of denominators i.e. for 174,525,595 is 517650.
Thus, GCF of Fractions is 3/517650.Finally, GCF of Fractions for 99/174, 81/525, 615/595 is 3/517650.