Use our free GCF of Fractions Calculator tool to compute the GCF of 92/544, 160/714, 412/161 i.e 4/262752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/544, 160/714, 412/161.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/544,160/714,412/161
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 92/544,160/714,412/161, numerators are 92,160,412
Denominators are 544,714,161
The GCF of 92,160,412 is 4 .
LCM of 544,714,161 is 262752.
The greatest common factor of 92/544,160/714,412/161 = [GCF of 92,160,412]/[LCM of 544,714,161]= 4/262752
Therefore, the GCF of 92/544,160/714,412/161 is 4/262752.
To find the highest common factor of 92,160,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 92,160,412 is 4.
Lets's calculate GCF of 92,160,412
2 | 92, 160, 412 |
2 | 46, 80, 206 |
23, 40, 103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 92,160,412 . The biggest common factor number is the GCF number.
So the greatest common factor 92,160,412 is 4.
Lets's calculate LCM of 544,714,161
2 | 544, 714, 161 |
7 | 272, 357, 161 |
17 | 272, 51, 23 |
16, 3, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 16 x 3 x 23 = 262752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/262752
Therefore, the GCF of Fractions 92/544,160/714,412/161 is 4/262752
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 544,714,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,714,161) = 1
common factors(in case of two or more numbers have common factors) = 238
GCF(544,714,161) x common factors =1 x 238 = 238
LCM(544,714,161) = ( 544 × 714 × 161 ) / 238
LCM(544,714,161) = 62534976 / 238
LCM(544,714,161) = 262752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,160,412?
The HCF of 92,160,412 is 4
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 92/544, 160/714, 412/161?
Answer: GCF of Numerators as per given numbers 92/544, 160/714, 412/161 is
GCF of Numerators i.e. for 92,160,412 is 4
LCM of denominators i.e. for 544,714,161 is 262752.
Thus, GCF of Fractions is 4/262752.Finally, GCF of Fractions for 92/544, 160/714, 412/161 is 4/262752.