Use our free GCF of Fractions Calculator tool to compute the GCF of 835/160, 8772/504 i.e 1/10080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/160, 8772/504.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/160,8772/504
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 835/160,8772/504, numerators are 835,8772
Denominators are 160,504
The GCF of 835,8772 is 1 .
LCM of 160,504 is 10080.
The greatest common factor of 835/160,8772/504 = [GCF of 835,8772]/[LCM of 160,504]= 1/10080
Therefore, the GCF of 835/160,8772/504 is 1/10080.
To find the highest common factor of 835,8772, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The HCF of 835,8772 is 1.
Lets's calculate GCF of 835,8772
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 835,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 835,8772 is 1.
Lets's calculate LCM of 160,504
2 | 160, 504 |
2 | 80, 252 |
2 | 40, 126 |
20, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 20 x 63 = 10080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10080
Therefore, the GCF of Fractions 835/160,8772/504 is 1/10080
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 160,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(160,504) x common factors =8 x 1 = 8
LCM(160,504) = ( 160 × 504 ) / 8
LCM(160,504) = 80640 / 8
LCM(160,504) = 10080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 835,8772?
The HCF of 835,8772 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 835/160, 8772/504?
Answer: GCF of Numerators as per given numbers 835/160, 8772/504 is
GCF of Numerators i.e. for 835,8772 is 1
LCM of denominators i.e. for 160,504 is 10080.
Thus, GCF of Fractions is 1/10080.Finally, GCF of Fractions for 835/160, 8772/504 is 1/10080.