Use our free GCF of Fractions Calculator tool to compute the GCF of 699/516, 6384/888 i.e 3/38184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 699/516, 6384/888.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 699/516,6384/888
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 699/516,6384/888, numerators are 699,6384
Denominators are 516,888
The GCF of 699,6384 is 3 .
LCM of 516,888 is 38184.
The greatest common factor of 699/516,6384/888 = [GCF of 699,6384]/[LCM of 516,888]= 3/38184
Therefore, the GCF of 699/516,6384/888 is 3/38184.
To find the highest common factor of 699,6384, we have to find the factors of both numbers and list the highest common factor.
The factors of 699 are 1, 3, 233, 699
The factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384
The HCF of 699,6384 is 3.
Lets's calculate GCF of 699,6384
3 | 699, 6384 |
233, 2128 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 699
:1,3,233,699
Now, list down the factors of 6384
:1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Greatest Common Factor
We found the factors 699,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 699,6384 is 3.
Lets's calculate LCM of 516,888
2 | 516, 888 |
2 | 258, 444 |
3 | 129, 222 |
43, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 74 = 38184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38184
Therefore, the GCF of Fractions 699/516,6384/888 is 3/38184
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 516,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,888) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(516,888) x common factors =12 x 1 = 12
LCM(516,888) = ( 516 × 888 ) / 12
LCM(516,888) = 458208 / 12
LCM(516,888) = 38184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 699,6384?
The HCF of 699,6384 is 3
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 699/516, 6384/888?
Answer: GCF of Numerators as per given numbers 699/516, 6384/888 is
GCF of Numerators i.e. for 699,6384 is 3
LCM of denominators i.e. for 516,888 is 38184.
Thus, GCF of Fractions is 3/38184.Finally, GCF of Fractions for 699/516, 6384/888 is 3/38184.