Use our free GCF of Fractions Calculator tool to compute the GCF of 336/971, 800/703 i.e 16/682613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/971, 800/703.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/971,800/703
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 336/971,800/703, numerators are 336,800
Denominators are 971,703
The GCF of 336,800 is 16 .
LCM of 971,703 is 682613.
The greatest common factor of 336/971,800/703 = [GCF of 336,800]/[LCM of 971,703]= 16/682613
Therefore, the GCF of 336/971,800/703 is 16/682613.
To find the highest common factor of 336,800, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The HCF of 336,800 is 16.
Lets's calculate GCF of 336,800
2 | 336, 800 |
2 | 168, 400 |
2 | 84, 200 |
2 | 42, 100 |
21, 50 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 336,800 . The biggest common factor number is the GCF number.
So the greatest common factor 336,800 is 16.
Lets's calculate LCM of 971,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 682613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/682613
Therefore, the GCF of Fractions 336/971,800/703 is 16/682613
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 971,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,703) x common factors =1 x 1 = 1
LCM(971,703) = ( 971 × 703 ) / 1
LCM(971,703) = 682613 / 1
LCM(971,703) = 682613
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 336,800?
The HCF of 336,800 is 16
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 336/971, 800/703?
Answer: GCF of Numerators as per given numbers 336/971, 800/703 is
GCF of Numerators i.e. for 336,800 is 16
LCM of denominators i.e. for 971,703 is 682613.
Thus, GCF of Fractions is 16/682613.Finally, GCF of Fractions for 336/971, 800/703 is 16/682613.