GCF of 271/358, 964/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 271/358, 964/512 i.e 1/91648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/358, 964/512.
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 271/358,964/512?
Given fractions are 271/358,964/512
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 271/358,964/512, numerators are 271,964
Denominators are 358,512
The GCF of 271,964 is 1 .
LCM of 358,512 is 91648.
The greatest common factor of 271/358,964/512 = [GCF of 271,964]/[LCM of 358,512]= 1/91648
Therefore, the GCF of 271/358,964/512 is 1/91648.
To find the highest common factor of 271,964, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 964 are 1, 2, 4, 241, 482, 964
The HCF of 271,964 is 1.
Lets's calculate GCF of 271,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 271,964 By Matching Biggest Common Factor Method
Now, list down the factors of 271
:1,271
Now, list down the factors of 964
:1,2,4,241,482,964
Greatest Common Factor
We found the factors 271,964 . The biggest common factor number is the GCF number.
So the greatest common factor 271,964 is 1.
Lets's calculate LCM of 358,512
| 2 | 358, 512 |
| 179, 256 |
∴ So the LCM of the given numbers is 2 x 179 x 256 = 91648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91648
Therefore, the GCF of Fractions 271/358,964/512 is 1/91648
Least Common Multiple of 358,512 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 358,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,512) x common factors =2 x 1 = 2
LCM(358,512) = ( 358 × 512 ) / 2
LCM(358,512) = 183296 / 2
LCM(358,512) = 91648
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 271/358, 964/512
1. What is the HCF of 271,964?
The HCF of 271,964 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 271/358, 964/512?
Answer: GCF of Numerators as per given numbers 271/358, 964/512 is
GCF of Numerators i.e. for 271,964 is 1
LCM of denominators i.e. for 358,512 is 91648.
Thus, GCF of Fractions is 1/91648.Finally, GCF of Fractions for 271/358, 964/512 is 1/91648.