Use our free GCF of Fractions Calculator tool to compute the GCF of 764/799, 696/850 i.e 4/39950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 764/799, 696/850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/799,696/850
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 764/799,696/850, numerators are 764,696
Denominators are 799,850
The GCF of 764,696 is 4 .
LCM of 799,850 is 39950.
The greatest common factor of 764/799,696/850 = [GCF of 764,696]/[LCM of 799,850]= 4/39950
Therefore, the GCF of 764/799,696/850 is 4/39950.
To find the highest common factor of 764,696, we have to find the factors of both numbers and list the highest common factor.
The factors of 764 are 1, 2, 4, 191, 382, 764
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 764,696 is 4.
Lets's calculate GCF of 764,696
2 | 764, 696 |
2 | 382, 348 |
191, 174 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 764
:1,2,4,191,382,764
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 764,696 . The biggest common factor number is the GCF number.
So the greatest common factor 764,696 is 4.
Lets's calculate LCM of 799,850
17 | 799, 850 |
47, 50 |
∴ So the LCM of the given numbers is 17 x 47 x 50 = 39950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39950
Therefore, the GCF of Fractions 764/799,696/850 is 4/39950
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 799,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,850) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(799,850) x common factors =17 x 1 = 17
LCM(799,850) = ( 799 × 850 ) / 17
LCM(799,850) = 679150 / 17
LCM(799,850) = 39950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 764,696?
The HCF of 764,696 is 4
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 764/799, 696/850?
Answer: GCF of Numerators as per given numbers 764/799, 696/850 is
GCF of Numerators i.e. for 764,696 is 4
LCM of denominators i.e. for 799,850 is 39950.
Thus, GCF of Fractions is 4/39950.Finally, GCF of Fractions for 764/799, 696/850 is 4/39950.