GCF of 87/54, 511/86, 133/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 87/54, 511/86, 133/774 i.e 1/2322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/54, 511/86, 133/774.
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 87/54,511/86,133/774?
Given fractions are 87/54,511/86,133/774
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 87/54,511/86,133/774, numerators are 87,511,133
Denominators are 54,86,774
The GCF of 87,511,133 is 1 .
LCM of 54,86,774 is 2322.
The greatest common factor of 87/54,511/86,133/774 = [GCF of 87,511,133]/[LCM of 54,86,774]= 1/2322
Therefore, the GCF of 87/54,511/86,133/774 is 1/2322.
To find the highest common factor of 87,511,133, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 511 are 1, 7, 73, 511
The factors of 133 are 1, 7, 19, 133
The HCF of 87,511,133 is 1.
Lets's calculate GCF of 87,511,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 87,511,133 By Matching Biggest Common Factor Method
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 133
:1,7,19,133
Greatest Common Factor
We found the factors 87,511,133 . The biggest common factor number is the GCF number.
So the greatest common factor 87,511,133 is 1.
Lets's calculate LCM of 54,86,774
| 2 | 54, 86, 774 |
| 3 | 27, 43, 387 |
| 3 | 9, 43, 129 |
| 43 | 3, 43, 43 |
| 3, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 3 x 1 x 1 = 2322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2322
Therefore, the GCF of Fractions 87/54,511/86,133/774 is 1/2322
Least Common Multiple of 54,86,774 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 54,86,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,86,774) = 2
common factors(in case of two or more numbers have common factors) = 774
GCF(54,86,774) x common factors =2 x 774 = 1548
LCM(54,86,774) = ( 54 × 86 × 774 ) / 1548
LCM(54,86,774) = 3594456 / 1548
LCM(54,86,774) = 2322
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FAQs on GCF of Fractions of 87/54, 511/86, 133/774
1. What is the HCF of 87,511,133?
The HCF of 87,511,133 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 87/54, 511/86, 133/774?
Answer: GCF of Numerators as per given numbers 87/54, 511/86, 133/774 is
GCF of Numerators i.e. for 87,511,133 is 1
LCM of denominators i.e. for 54,86,774 is 2322.
Thus, GCF of Fractions is 1/2322.Finally, GCF of Fractions for 87/54, 511/86, 133/774 is 1/2322.