Use our free GCF of Fractions Calculator tool to compute the GCF of 29/350, 525/221, 430/382 i.e 1/14773850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/350, 525/221, 430/382.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/350,525/221,430/382
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 29/350,525/221,430/382, numerators are 29,525,430
Denominators are 350,221,382
The GCF of 29,525,430 is 1 .
LCM of 350,221,382 is 14773850.
The greatest common factor of 29/350,525/221,430/382 = [GCF of 29,525,430]/[LCM of 350,221,382]= 1/14773850
Therefore, the GCF of 29/350,525/221,430/382 is 1/14773850.
To find the highest common factor of 29,525,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 29,525,430 is 1.
Lets's calculate GCF of 29,525,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 29,525,430 . The biggest common factor number is the GCF number.
So the greatest common factor 29,525,430 is 1.
Lets's calculate LCM of 350,221,382
2 | 350, 221, 382 |
175, 221, 191 |
∴ So the LCM of the given numbers is 2 x 175 x 221 x 191 = 14773850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14773850
Therefore, the GCF of Fractions 29/350,525/221,430/382 is 1/14773850
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 350,221,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,221,382) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(350,221,382) x common factors =1 x 2 = 2
LCM(350,221,382) = ( 350 × 221 × 382 ) / 2
LCM(350,221,382) = 29547700 / 2
LCM(350,221,382) = 14773850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,525,430?
The HCF of 29,525,430 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 29/350, 525/221, 430/382?
Answer: GCF of Numerators as per given numbers 29/350, 525/221, 430/382 is
GCF of Numerators i.e. for 29,525,430 is 1
LCM of denominators i.e. for 350,221,382 is 14773850.
Thus, GCF of Fractions is 1/14773850.Finally, GCF of Fractions for 29/350, 525/221, 430/382 is 1/14773850.