Use our free GCF of Fractions Calculator tool to compute the GCF of 793/824, 596/714 i.e 1/294168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/824, 596/714.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/824,596/714
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 793/824,596/714, numerators are 793,596
Denominators are 824,714
The GCF of 793,596 is 1 .
LCM of 824,714 is 294168.
The greatest common factor of 793/824,596/714 = [GCF of 793,596]/[LCM of 824,714]= 1/294168
Therefore, the GCF of 793/824,596/714 is 1/294168.
To find the highest common factor of 793,596, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 596 are 1, 2, 4, 149, 298, 596
The HCF of 793,596 is 1.
Lets's calculate GCF of 793,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 596
:1,2,4,149,298,596
Greatest Common Factor
We found the factors 793,596 . The biggest common factor number is the GCF number.
So the greatest common factor 793,596 is 1.
Lets's calculate LCM of 824,714
2 | 824, 714 |
412, 357 |
∴ So the LCM of the given numbers is 2 x 412 x 357 = 294168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294168
Therefore, the GCF of Fractions 793/824,596/714 is 1/294168
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 824,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,714) x common factors =2 x 1 = 2
LCM(824,714) = ( 824 × 714 ) / 2
LCM(824,714) = 588336 / 2
LCM(824,714) = 294168
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 793,596?
The HCF of 793,596 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 793/824, 596/714?
Answer: GCF of Numerators as per given numbers 793/824, 596/714 is
GCF of Numerators i.e. for 793,596 is 1
LCM of denominators i.e. for 824,714 is 294168.
Thus, GCF of Fractions is 1/294168.Finally, GCF of Fractions for 793/824, 596/714 is 1/294168.