Use our free GCF of Fractions Calculator tool to compute the GCF of 429/730, 832/883 i.e 13/644590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/730, 832/883.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/730,832/883
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 429/730,832/883, numerators are 429,832
Denominators are 730,883
The GCF of 429,832 is 13 .
LCM of 730,883 is 644590.
The greatest common factor of 429/730,832/883 = [GCF of 429,832]/[LCM of 730,883]= 13/644590
Therefore, the GCF of 429/730,832/883 is 13/644590.
To find the highest common factor of 429,832, 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 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 429,832 is 13.
Lets's calculate GCF of 429,832
13 | 429, 832 |
33, 64 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 429,832 . The biggest common factor number is the GCF number.
So the greatest common factor 429,832 is 13.
Lets's calculate LCM of 730,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 644590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/644590
Therefore, the GCF of Fractions 429/730,832/883 is 13/644590
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 730,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,883) x common factors =1 x 1 = 1
LCM(730,883) = ( 730 × 883 ) / 1
LCM(730,883) = 644590 / 1
LCM(730,883) = 644590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,832?
The HCF of 429,832 is 13
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 429/730, 832/883?
Answer: GCF of Numerators as per given numbers 429/730, 832/883 is
GCF of Numerators i.e. for 429,832 is 13
LCM of denominators i.e. for 730,883 is 644590.
Thus, GCF of Fractions is 13/644590.Finally, GCF of Fractions for 429/730, 832/883 is 13/644590.