Use our free GCF of Fractions Calculator tool to compute the GCF of 504/992, 128/699 i.e 8/693408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/992, 128/699.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 504/992,128/699
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 504/992,128/699, numerators are 504,128
Denominators are 992,699
The GCF of 504,128 is 8 .
LCM of 992,699 is 693408.
The greatest common factor of 504/992,128/699 = [GCF of 504,128]/[LCM of 992,699]= 8/693408
Therefore, the GCF of 504/992,128/699 is 8/693408.
To find the highest common factor of 504,128, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The HCF of 504,128 is 8.
Lets's calculate GCF of 504,128
2 | 504, 128 |
2 | 252, 64 |
2 | 126, 32 |
63, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 504,128 . The biggest common factor number is the GCF number.
So the greatest common factor 504,128 is 8.
Lets's calculate LCM of 992,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 693408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/693408
Therefore, the GCF of Fractions 504/992,128/699 is 8/693408
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 992,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,699) x common factors =1 x 1 = 1
LCM(992,699) = ( 992 × 699 ) / 1
LCM(992,699) = 693408 / 1
LCM(992,699) = 693408
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 504,128?
The HCF of 504,128 is 8
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 504/992, 128/699?
Answer: GCF of Numerators as per given numbers 504/992, 128/699 is
GCF of Numerators i.e. for 504,128 is 8
LCM of denominators i.e. for 992,699 is 693408.
Thus, GCF of Fractions is 8/693408.Finally, GCF of Fractions for 504/992, 128/699 is 8/693408.