Use our free GCF of Fractions Calculator tool to compute the GCF of 429/820, 290/846 i.e 1/346860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/820, 290/846.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/820,290/846
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 429/820,290/846, numerators are 429,290
Denominators are 820,846
The GCF of 429,290 is 1 .
LCM of 820,846 is 346860.
The greatest common factor of 429/820,290/846 = [GCF of 429,290]/[LCM of 820,846]= 1/346860
Therefore, the GCF of 429/820,290/846 is 1/346860.
To find the highest common factor of 429,290, 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 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 429,290 is 1.
Lets's calculate GCF of 429,290
∴ 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 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 429,290 . The biggest common factor number is the GCF number.
So the greatest common factor 429,290 is 1.
Lets's calculate LCM of 820,846
2 | 820, 846 |
410, 423 |
∴ So the LCM of the given numbers is 2 x 410 x 423 = 346860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346860
Therefore, the GCF of Fractions 429/820,290/846 is 1/346860
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 820,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,846) x common factors =2 x 1 = 2
LCM(820,846) = ( 820 × 846 ) / 2
LCM(820,846) = 693720 / 2
LCM(820,846) = 346860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,290?
The HCF of 429,290 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 429/820, 290/846?
Answer: GCF of Numerators as per given numbers 429/820, 290/846 is
GCF of Numerators i.e. for 429,290 is 1
LCM of denominators i.e. for 820,846 is 346860.
Thus, GCF of Fractions is 1/346860.Finally, GCF of Fractions for 429/820, 290/846 is 1/346860.