Use our free GCF of Fractions Calculator tool to compute the GCF of 29/542, 73/574, 870/419 i.e 1/65177126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/542, 73/574, 870/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/542,73/574,870/419
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 29/542,73/574,870/419, numerators are 29,73,870
Denominators are 542,574,419
The GCF of 29,73,870 is 1 .
LCM of 542,574,419 is 65177126.
The greatest common factor of 29/542,73/574,870/419 = [GCF of 29,73,870]/[LCM of 542,574,419]= 1/65177126
Therefore, the GCF of 29/542,73/574,870/419 is 1/65177126.
To find the highest common factor of 29,73,870, 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 73 are 1, 73
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 29,73,870 is 1.
Lets's calculate GCF of 29,73,870
∴ 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 73
:1,73
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 29,73,870 . The biggest common factor number is the GCF number.
So the greatest common factor 29,73,870 is 1.
Lets's calculate LCM of 542,574,419
2 | 542, 574, 419 |
271, 287, 419 |
∴ So the LCM of the given numbers is 2 x 271 x 287 x 419 = 65177126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65177126
Therefore, the GCF of Fractions 29/542,73/574,870/419 is 1/65177126
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 542,574,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,574,419) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(542,574,419) x common factors =1 x 2 = 2
LCM(542,574,419) = ( 542 × 574 × 419 ) / 2
LCM(542,574,419) = 130354252 / 2
LCM(542,574,419) = 65177126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,73,870?
The HCF of 29,73,870 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 29/542, 73/574, 870/419?
Answer: GCF of Numerators as per given numbers 29/542, 73/574, 870/419 is
GCF of Numerators i.e. for 29,73,870 is 1
LCM of denominators i.e. for 542,574,419 is 65177126.
Thus, GCF of Fractions is 1/65177126.Finally, GCF of Fractions for 29/542, 73/574, 870/419 is 1/65177126.