GCF of 133/894, 216/589, 276/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 133/894, 216/589, 276/149 i.e 1/526566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/894, 216/589, 276/149.
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 133/894,216/589,276/149?
Given fractions are 133/894,216/589,276/149
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 133/894,216/589,276/149, numerators are 133,216,276
Denominators are 894,589,149
The GCF of 133,216,276 is 1 .
LCM of 894,589,149 is 526566.
The greatest common factor of 133/894,216/589,276/149 = [GCF of 133,216,276]/[LCM of 894,589,149]= 1/526566
Therefore, the GCF of 133/894,216/589,276/149 is 1/526566.
To find the highest common factor of 133,216,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 133,216,276 is 1.
Lets's calculate GCF of 133,216,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 133,216,276 By Matching Biggest Common Factor Method
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 133,216,276 . The biggest common factor number is the GCF number.
So the greatest common factor 133,216,276 is 1.
Lets's calculate LCM of 894,589,149
| 149 | 894, 589, 149 |
| 6, 589, 1 |
∴ So the LCM of the given numbers is 149 x 6 x 589 x 1 = 526566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526566
Therefore, the GCF of Fractions 133/894,216/589,276/149 is 1/526566
Least Common Multiple of 894,589,149 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 894,589,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,589,149) = 1
common factors(in case of two or more numbers have common factors) = 149
GCF(894,589,149) x common factors =1 x 149 = 149
LCM(894,589,149) = ( 894 × 589 × 149 ) / 149
LCM(894,589,149) = 78458334 / 149
LCM(894,589,149) = 526566
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FAQs on GCF of Fractions of 133/894, 216/589, 276/149
1. What is the HCF of 133,216,276?
The HCF of 133,216,276 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 133/894, 216/589, 276/149?
Answer: GCF of Numerators as per given numbers 133/894, 216/589, 276/149 is
GCF of Numerators i.e. for 133,216,276 is 1
LCM of denominators i.e. for 894,589,149 is 526566.
Thus, GCF of Fractions is 1/526566.Finally, GCF of Fractions for 133/894, 216/589, 276/149 is 1/526566.