Use our free GCF of Fractions Calculator tool to compute the GCF of 849/414, 504/435 i.e 3/60030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/414, 504/435.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/414,504/435
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 849/414,504/435, numerators are 849,504
Denominators are 414,435
The GCF of 849,504 is 3 .
LCM of 414,435 is 60030.
The greatest common factor of 849/414,504/435 = [GCF of 849,504]/[LCM of 414,435]= 3/60030
Therefore, the GCF of 849/414,504/435 is 3/60030.
To find the highest common factor of 849,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
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 HCF of 849,504 is 3.
Lets's calculate GCF of 849,504
3 | 849, 504 |
283, 168 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 849
:1,3,283,849
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
Greatest Common Factor
We found the factors 849,504 . The biggest common factor number is the GCF number.
So the greatest common factor 849,504 is 3.
Lets's calculate LCM of 414,435
3 | 414, 435 |
138, 145 |
∴ So the LCM of the given numbers is 3 x 138 x 145 = 60030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60030
Therefore, the GCF of Fractions 849/414,504/435 is 3/60030
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 414,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,435) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,435) x common factors =3 x 1 = 3
LCM(414,435) = ( 414 × 435 ) / 3
LCM(414,435) = 180090 / 3
LCM(414,435) = 60030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 849,504?
The HCF of 849,504 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 849/414, 504/435?
Answer: GCF of Numerators as per given numbers 849/414, 504/435 is
GCF of Numerators i.e. for 849,504 is 3
LCM of denominators i.e. for 414,435 is 60030.
Thus, GCF of Fractions is 3/60030.Finally, GCF of Fractions for 849/414, 504/435 is 3/60030.