Use our free GCF of Fractions Calculator tool to compute the GCF of 429/205, 790/610 i.e 1/25010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/205, 790/610.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/205,790/610
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 429/205,790/610, numerators are 429,790
Denominators are 205,610
The GCF of 429,790 is 1 .
LCM of 205,610 is 25010.
The greatest common factor of 429/205,790/610 = [GCF of 429,790]/[LCM of 205,610]= 1/25010
Therefore, the GCF of 429/205,790/610 is 1/25010.
To find the highest common factor of 429,790, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The HCF of 429,790 is 1.
Lets's calculate GCF of 429,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 429,790 . The biggest common factor number is the GCF number.
So the greatest common factor 429,790 is 1.
Lets's calculate LCM of 205,610
5 | 205, 610 |
41, 122 |
∴ So the LCM of the given numbers is 5 x 41 x 122 = 25010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25010
Therefore, the GCF of Fractions 429/205,790/610 is 1/25010
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 205,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,610) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,610) x common factors =5 x 1 = 5
LCM(205,610) = ( 205 × 610 ) / 5
LCM(205,610) = 125050 / 5
LCM(205,610) = 25010
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,790?
The HCF of 429,790 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 429/205, 790/610?
Answer: GCF of Numerators as per given numbers 429/205, 790/610 is
GCF of Numerators i.e. for 429,790 is 1
LCM of denominators i.e. for 205,610 is 25010.
Thus, GCF of Fractions is 1/25010.Finally, GCF of Fractions for 429/205, 790/610 is 1/25010.