GCF of 99/80, 561/16, 202/337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/80, 561/16, 202/337 i.e 1/26960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/80, 561/16, 202/337.
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 99/80,561/16,202/337?
Given fractions are 99/80,561/16,202/337
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 99/80,561/16,202/337, numerators are 99,561,202
Denominators are 80,16,337
The GCF of 99,561,202 is 1 .
LCM of 80,16,337 is 26960.
The greatest common factor of 99/80,561/16,202/337 = [GCF of 99,561,202]/[LCM of 80,16,337]= 1/26960
Therefore, the GCF of 99/80,561/16,202/337 is 1/26960.
To find the highest common factor of 99,561,202, 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 561 are 1, 3, 11, 17, 33, 51, 187, 561
The factors of 202 are 1, 2, 101, 202
The HCF of 99,561,202 is 1.
Lets's calculate GCF of 99,561,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,561,202 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 561
:1,3,11,17,33,51,187,561
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 99,561,202 . The biggest common factor number is the GCF number.
So the greatest common factor 99,561,202 is 1.
Lets's calculate LCM of 80,16,337
| 2 | 80, 16, 337 |
| 2 | 40, 8, 337 |
| 2 | 20, 4, 337 |
| 2 | 10, 2, 337 |
| 5, 1, 337 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 337 = 26960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26960
Therefore, the GCF of Fractions 99/80,561/16,202/337 is 1/26960
Least Common Multiple of 80,16,337 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 80,16,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,16,337) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(80,16,337) x common factors =1 x 16 = 16
LCM(80,16,337) = ( 80 × 16 × 337 ) / 16
LCM(80,16,337) = 431360 / 16
LCM(80,16,337) = 26960
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FAQs on GCF of Fractions of 99/80, 561/16, 202/337
1. What is the HCF of 99,561,202?
The HCF of 99,561,202 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 99/80, 561/16, 202/337?
Answer: GCF of Numerators as per given numbers 99/80, 561/16, 202/337 is
GCF of Numerators i.e. for 99,561,202 is 1
LCM of denominators i.e. for 80,16,337 is 26960.
Thus, GCF of Fractions is 1/26960.Finally, GCF of Fractions for 99/80, 561/16, 202/337 is 1/26960.