GCF of 34/81, 258/29, 910/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/81, 258/29, 910/536 i.e 2/1259064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/81, 258/29, 910/536.
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 34/81,258/29,910/536?
Given fractions are 34/81,258/29,910/536
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 34/81,258/29,910/536, numerators are 34,258,910
Denominators are 81,29,536
The GCF of 34,258,910 is 2 .
LCM of 81,29,536 is 1259064.
The greatest common factor of 34/81,258/29,910/536 = [GCF of 34,258,910]/[LCM of 81,29,536]= 2/1259064
Therefore, the GCF of 34/81,258/29,910/536 is 2/1259064.
To find the highest common factor of 34,258,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 34,258,910 is 2.
Lets's calculate GCF of 34,258,910
| 2 | 34, 258, 910 |
| 17, 129, 455 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,258,910 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 34,258,910 . The biggest common factor number is the GCF number.
So the greatest common factor 34,258,910 is 2.
Lets's calculate LCM of 81,29,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 1259064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1259064
Therefore, the GCF of Fractions 34/81,258/29,910/536 is 2/1259064
Least Common Multiple of 81,29,536 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 81,29,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,29,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,29,536) x common factors =1 x 1 = 1
LCM(81,29,536) = ( 81 × 29 × 536 ) / 1
LCM(81,29,536) = 1259064 / 1
LCM(81,29,536) = 1259064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/81, 258/29, 910/536
1. What is the HCF of 34,258,910?
The HCF of 34,258,910 is 2
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 34/81, 258/29, 910/536?
Answer: GCF of Numerators as per given numbers 34/81, 258/29, 910/536 is
GCF of Numerators i.e. for 34,258,910 is 2
LCM of denominators i.e. for 81,29,536 is 1259064.
Thus, GCF of Fractions is 2/1259064.Finally, GCF of Fractions for 34/81, 258/29, 910/536 is 2/1259064.