GCF of 511/16, 706/3254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/16, 706/3254 i.e 1/26032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/16, 706/3254.
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 511/16,706/3254?
Given fractions are 511/16,706/3254
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 511/16,706/3254, numerators are 511,706
Denominators are 16,3254
The GCF of 511,706 is 1 .
LCM of 16,3254 is 26032.
The greatest common factor of 511/16,706/3254 = [GCF of 511,706]/[LCM of 16,3254]= 1/26032
Therefore, the GCF of 511/16,706/3254 is 1/26032.
To find the highest common factor of 511,706, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 706 are 1, 2, 353, 706
The HCF of 511,706 is 1.
Lets's calculate GCF of 511,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,706 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 706
:1,2,353,706
Greatest Common Factor
We found the factors 511,706 . The biggest common factor number is the GCF number.
So the greatest common factor 511,706 is 1.
Lets's calculate LCM of 16,3254
| 2 | 16, 3254 |
| 8, 1627 |
∴ So the LCM of the given numbers is 2 x 8 x 1627 = 26032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26032
Therefore, the GCF of Fractions 511/16,706/3254 is 1/26032
Least Common Multiple of 16,3254 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 16,3254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,3254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,3254) x common factors =2 x 1 = 2
LCM(16,3254) = ( 16 × 3254 ) / 2
LCM(16,3254) = 52064 / 2
LCM(16,3254) = 26032
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 511/16, 706/3254
1. What is the HCF of 511,706?
The HCF of 511,706 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 511/16, 706/3254?
Answer: GCF of Numerators as per given numbers 511/16, 706/3254 is
GCF of Numerators i.e. for 511,706 is 1
LCM of denominators i.e. for 16,3254 is 26032.
Thus, GCF of Fractions is 1/26032.Finally, GCF of Fractions for 511/16, 706/3254 is 1/26032.