Use our free GCF of Fractions Calculator tool to compute the GCF of 1/24, 39/36, 23/543, 346/352 i.e 1/573408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/24, 39/36, 23/543, 346/352.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/24,39/36,23/543,346/352
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 1/24,39/36,23/543,346/352, numerators are 1,39,23,346
Denominators are 24,36,543,352
The GCF of 1,39,23,346 is 1 .
LCM of 24,36,543,352 is 573408.
The greatest common factor of 1/24,39/36,23/543,346/352 = [GCF of 1,39,23,346]/[LCM of 24,36,543,352]= 1/573408
Therefore, the GCF of 1/24,39/36,23/543,346/352 is 1/573408.
To find the highest common factor of 1,39,23,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 39 are 1, 3, 13, 39
The factors of 23 are 1, 23
The factors of 346 are 1, 2, 173, 346
The HCF of 1,39,23,346 is 1.
Lets's calculate GCF of 1,39,23,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 23
:1,23
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 1,39,23,346 . The biggest common factor number is the GCF number.
So the greatest common factor 1,39,23,346 is 1.
Lets's calculate LCM of 24,36,543,352
2 | 24, 36, 543, 352 |
2 | 12, 18, 543, 176 |
2 | 6, 9, 543, 88 |
3 | 3, 9, 543, 44 |
1, 3, 181, 44 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 181 x 44 = 573408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573408
Therefore, the GCF of Fractions 1/24,39/36,23/543,346/352 is 1/573408
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 24,36,543,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,36,543,352) = 1
common factors(in case of two or more numbers have common factors) = 288
GCF(24,36,543,352) x common factors =1 x 288 = 288
LCM(24,36,543,352) = ( 24 × 36 × 543 × 352 ) / 288
LCM(24,36,543,352) = 165141504 / 288
LCM(24,36,543,352) = 573408
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,39,23,346?
The HCF of 1,39,23,346 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 1/24, 39/36, 23/543, 346/352?
Answer: GCF of Numerators as per given numbers 1/24, 39/36, 23/543, 346/352 is
GCF of Numerators i.e. for 1,39,23,346 is 1
LCM of denominators i.e. for 24,36,543,352 is 573408.
Thus, GCF of Fractions is 1/573408.Finally, GCF of Fractions for 1/24, 39/36, 23/543, 346/352 is 1/573408.