Use our free GCF of Fractions Calculator tool to compute the GCF of 423/142, 536/610 i.e 1/43310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/142, 536/610.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/142,536/610
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 423/142,536/610, numerators are 423,536
Denominators are 142,610
The GCF of 423,536 is 1 .
LCM of 142,610 is 43310.
The greatest common factor of 423/142,536/610 = [GCF of 423,536]/[LCM of 142,610]= 1/43310
Therefore, the GCF of 423/142,536/610 is 1/43310.
To find the highest common factor of 423,536, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The HCF of 423,536 is 1.
Lets's calculate GCF of 423,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 423,536 . The biggest common factor number is the GCF number.
So the greatest common factor 423,536 is 1.
Lets's calculate LCM of 142,610
2 | 142, 610 |
71, 305 |
∴ So the LCM of the given numbers is 2 x 71 x 305 = 43310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43310
Therefore, the GCF of Fractions 423/142,536/610 is 1/43310
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 142,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,610) x common factors =2 x 1 = 2
LCM(142,610) = ( 142 × 610 ) / 2
LCM(142,610) = 86620 / 2
LCM(142,610) = 43310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,536?
The HCF of 423,536 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 423/142, 536/610?
Answer: GCF of Numerators as per given numbers 423/142, 536/610 is
GCF of Numerators i.e. for 423,536 is 1
LCM of denominators i.e. for 142,610 is 43310.
Thus, GCF of Fractions is 1/43310.Finally, GCF of Fractions for 423/142, 536/610 is 1/43310.