Use our free GCF of Fractions Calculator tool to compute the GCF of 271/688, 423/642 i.e 1/220848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/688, 423/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/688,423/642
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 271/688,423/642, numerators are 271,423
Denominators are 688,642
The GCF of 271,423 is 1 .
LCM of 688,642 is 220848.
The greatest common factor of 271/688,423/642 = [GCF of 271,423]/[LCM of 688,642]= 1/220848
Therefore, the GCF of 271/688,423/642 is 1/220848.
To find the highest common factor of 271,423, 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 423 are 1, 3, 9, 47, 141, 423
The HCF of 271,423 is 1.
Lets's calculate GCF of 271,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 271
:1,271
Now, list down the factors of 423
:1,3,9,47,141,423
Greatest Common Factor
We found the factors 271,423 . The biggest common factor number is the GCF number.
So the greatest common factor 271,423 is 1.
Lets's calculate LCM of 688,642
2 | 688, 642 |
344, 321 |
∴ So the LCM of the given numbers is 2 x 344 x 321 = 220848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220848
Therefore, the GCF of Fractions 271/688,423/642 is 1/220848
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 688,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,642) x common factors =2 x 1 = 2
LCM(688,642) = ( 688 × 642 ) / 2
LCM(688,642) = 441696 / 2
LCM(688,642) = 220848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 271,423?
The HCF of 271,423 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 271/688, 423/642?
Answer: GCF of Numerators as per given numbers 271/688, 423/642 is
GCF of Numerators i.e. for 271,423 is 1
LCM of denominators i.e. for 688,642 is 220848.
Thus, GCF of Fractions is 1/220848.Finally, GCF of Fractions for 271/688, 423/642 is 1/220848.