GCF of 811/13, 173/34, 786/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/13, 173/34, 786/154 i.e 1/34034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/13, 173/34, 786/154.
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 811/13,173/34,786/154?
Given fractions are 811/13,173/34,786/154
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 811/13,173/34,786/154, numerators are 811,173,786
Denominators are 13,34,154
The GCF of 811,173,786 is 1 .
LCM of 13,34,154 is 34034.
The greatest common factor of 811/13,173/34,786/154 = [GCF of 811,173,786]/[LCM of 13,34,154]= 1/34034
Therefore, the GCF of 811/13,173/34,786/154 is 1/34034.
To find the highest common factor of 811,173,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 811 are 1, 811
The factors of 173 are 1, 173
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 811,173,786 is 1.
Lets's calculate GCF of 811,173,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,173,786 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 173
:1,173
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 811,173,786 . The biggest common factor number is the GCF number.
So the greatest common factor 811,173,786 is 1.
Lets's calculate LCM of 13,34,154
| 2 | 13, 34, 154 |
| 13, 17, 77 |
∴ So the LCM of the given numbers is 2 x 13 x 17 x 77 = 34034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34034
Therefore, the GCF of Fractions 811/13,173/34,786/154 is 1/34034
Least Common Multiple of 13,34,154 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 13,34,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,34,154) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,34,154) x common factors =1 x 2 = 2
LCM(13,34,154) = ( 13 × 34 × 154 ) / 2
LCM(13,34,154) = 68068 / 2
LCM(13,34,154) = 34034
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FAQs on GCF of Fractions of 811/13, 173/34, 786/154
1. What is the HCF of 811,173,786?
The HCF of 811,173,786 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 811/13, 173/34, 786/154?
Answer: GCF of Numerators as per given numbers 811/13, 173/34, 786/154 is
GCF of Numerators i.e. for 811,173,786 is 1
LCM of denominators i.e. for 13,34,154 is 34034.
Thus, GCF of Fractions is 1/34034.Finally, GCF of Fractions for 811/13, 173/34, 786/154 is 1/34034.