GCF of 61/800, 31/558, 163/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/800, 31/558, 163/228 i.e 1/4240800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/800, 31/558, 163/228.
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 61/800,31/558,163/228?
Given fractions are 61/800,31/558,163/228
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 61/800,31/558,163/228, numerators are 61,31,163
Denominators are 800,558,228
The GCF of 61,31,163 is 1 .
LCM of 800,558,228 is 4240800.
The greatest common factor of 61/800,31/558,163/228 = [GCF of 61,31,163]/[LCM of 800,558,228]= 1/4240800
Therefore, the GCF of 61/800,31/558,163/228 is 1/4240800.
To find the highest common factor of 61,31,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 31 are 1, 31
The factors of 163 are 1, 163
The HCF of 61,31,163 is 1.
Lets's calculate GCF of 61,31,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,31,163 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 31
:1,31
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 61,31,163 . The biggest common factor number is the GCF number.
So the greatest common factor 61,31,163 is 1.
Lets's calculate LCM of 800,558,228
| 2 | 800, 558, 228 |
| 2 | 400, 279, 114 |
| 3 | 200, 279, 57 |
| 200, 93, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 200 x 93 x 19 = 4240800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4240800
Therefore, the GCF of Fractions 61/800,31/558,163/228 is 1/4240800
Least Common Multiple of 800,558,228 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 800,558,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,558,228) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(800,558,228) x common factors =2 x 12 = 24
LCM(800,558,228) = ( 800 × 558 × 228 ) / 24
LCM(800,558,228) = 101779200 / 24
LCM(800,558,228) = 4240800
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FAQs on GCF of Fractions of 61/800, 31/558, 163/228
1. What is the HCF of 61,31,163?
The HCF of 61,31,163 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 61/800, 31/558, 163/228?
Answer: GCF of Numerators as per given numbers 61/800, 31/558, 163/228 is
GCF of Numerators i.e. for 61,31,163 is 1
LCM of denominators i.e. for 800,558,228 is 4240800.
Thus, GCF of Fractions is 1/4240800.Finally, GCF of Fractions for 61/800, 31/558, 163/228 is 1/4240800.