Use our free GCF of Fractions Calculator tool to compute the GCF of 784/731, 639/850 i.e 1/36550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/731, 639/850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 784/731,639/850
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 784/731,639/850, numerators are 784,639
Denominators are 731,850
The GCF of 784,639 is 1 .
LCM of 731,850 is 36550.
The greatest common factor of 784/731,639/850 = [GCF of 784,639]/[LCM of 731,850]= 1/36550
Therefore, the GCF of 784/731,639/850 is 1/36550.
To find the highest common factor of 784,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 784,639 is 1.
Lets's calculate GCF of 784,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 784,639 . The biggest common factor number is the GCF number.
So the greatest common factor 784,639 is 1.
Lets's calculate LCM of 731,850
17 | 731, 850 |
43, 50 |
∴ So the LCM of the given numbers is 17 x 43 x 50 = 36550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36550
Therefore, the GCF of Fractions 784/731,639/850 is 1/36550
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 731,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,850) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(731,850) x common factors =17 x 1 = 17
LCM(731,850) = ( 731 × 850 ) / 17
LCM(731,850) = 621350 / 17
LCM(731,850) = 36550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 784,639?
The HCF of 784,639 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 784/731, 639/850?
Answer: GCF of Numerators as per given numbers 784/731, 639/850 is
GCF of Numerators i.e. for 784,639 is 1
LCM of denominators i.e. for 731,850 is 36550.
Thus, GCF of Fractions is 1/36550.Finally, GCF of Fractions for 784/731, 639/850 is 1/36550.