GCF of 29/95, 577/18, 556/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 29/95, 577/18, 556/111 i.e 1/63270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/95, 577/18, 556/111.
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 29/95,577/18,556/111?
Given fractions are 29/95,577/18,556/111
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 29/95,577/18,556/111, numerators are 29,577,556
Denominators are 95,18,111
The GCF of 29,577,556 is 1 .
LCM of 95,18,111 is 63270.
The greatest common factor of 29/95,577/18,556/111 = [GCF of 29,577,556]/[LCM of 95,18,111]= 1/63270
Therefore, the GCF of 29/95,577/18,556/111 is 1/63270.
To find the highest common factor of 29,577,556, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 577 are 1, 577
The factors of 556 are 1, 2, 4, 139, 278, 556
The HCF of 29,577,556 is 1.
Lets's calculate GCF of 29,577,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 29,577,556 By Matching Biggest Common Factor Method
Now, list down the factors of 29
:1,29
Now, list down the factors of 577
:1,577
Now, list down the factors of 556
:1,2,4,139,278,556
Greatest Common Factor
We found the factors 29,577,556 . The biggest common factor number is the GCF number.
So the greatest common factor 29,577,556 is 1.
Lets's calculate LCM of 95,18,111
| 3 | 95, 18, 111 |
| 95, 6, 37 |
∴ So the LCM of the given numbers is 3 x 95 x 6 x 37 = 63270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63270
Therefore, the GCF of Fractions 29/95,577/18,556/111 is 1/63270
Least Common Multiple of 95,18,111 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 95,18,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,18,111) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(95,18,111) x common factors =1 x 3 = 3
LCM(95,18,111) = ( 95 × 18 × 111 ) / 3
LCM(95,18,111) = 189810 / 3
LCM(95,18,111) = 63270
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FAQs on GCF of Fractions of 29/95, 577/18, 556/111
1. What is the HCF of 29,577,556?
The HCF of 29,577,556 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 29/95, 577/18, 556/111?
Answer: GCF of Numerators as per given numbers 29/95, 577/18, 556/111 is
GCF of Numerators i.e. for 29,577,556 is 1
LCM of denominators i.e. for 95,18,111 is 63270.
Thus, GCF of Fractions is 1/63270.Finally, GCF of Fractions for 29/95, 577/18, 556/111 is 1/63270.