GCF of 18/59, 511/90, 561/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/59, 511/90, 561/106 i.e 1/281430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/59, 511/90, 561/106.
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 18/59,511/90,561/106?
Given fractions are 18/59,511/90,561/106
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 18/59,511/90,561/106, numerators are 18,511,561
Denominators are 59,90,106
The GCF of 18,511,561 is 1 .
LCM of 59,90,106 is 281430.
The greatest common factor of 18/59,511/90,561/106 = [GCF of 18,511,561]/[LCM of 59,90,106]= 1/281430
Therefore, the GCF of 18/59,511/90,561/106 is 1/281430.
To find the highest common factor of 18,511,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 511 are 1, 7, 73, 511
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 18,511,561 is 1.
Lets's calculate GCF of 18,511,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,511,561 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 18,511,561 . The biggest common factor number is the GCF number.
So the greatest common factor 18,511,561 is 1.
Lets's calculate LCM of 59,90,106
| 2 | 59, 90, 106 |
| 59, 45, 53 |
∴ So the LCM of the given numbers is 2 x 59 x 45 x 53 = 281430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281430
Therefore, the GCF of Fractions 18/59,511/90,561/106 is 1/281430
Least Common Multiple of 59,90,106 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 59,90,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,90,106) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,90,106) x common factors =1 x 2 = 2
LCM(59,90,106) = ( 59 × 90 × 106 ) / 2
LCM(59,90,106) = 562860 / 2
LCM(59,90,106) = 281430
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FAQs on GCF of Fractions of 18/59, 511/90, 561/106
1. What is the HCF of 18,511,561?
The HCF of 18,511,561 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 18/59, 511/90, 561/106?
Answer: GCF of Numerators as per given numbers 18/59, 511/90, 561/106 is
GCF of Numerators i.e. for 18,511,561 is 1
LCM of denominators i.e. for 59,90,106 is 281430.
Thus, GCF of Fractions is 1/281430.Finally, GCF of Fractions for 18/59, 511/90, 561/106 is 1/281430.