Use our free GCF of Fractions Calculator tool to compute the GCF of 873/632, 913/316 i.e 1/632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/632, 913/316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/632,913/316
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 873/632,913/316, numerators are 873,913
Denominators are 632,316
The GCF of 873,913 is 1 .
LCM of 632,316 is 632.
The greatest common factor of 873/632,913/316 = [GCF of 873,913]/[LCM of 632,316]= 1/632
Therefore, the GCF of 873/632,913/316 is 1/632.
To find the highest common factor of 873,913, we have to find the factors of both numbers and list the highest common factor.
The factors of 873 are 1, 3, 9, 97, 291, 873
The factors of 913 are 1, 11, 83, 913
The HCF of 873,913 is 1.
Lets's calculate GCF of 873,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 873
:1,3,9,97,291,873
Now, list down the factors of 913
:1,11,83,913
Greatest Common Factor
We found the factors 873,913 . The biggest common factor number is the GCF number.
So the greatest common factor 873,913 is 1.
Lets's calculate LCM of 632,316
2 | 632, 316 |
2 | 316, 158 |
79 | 79, 158 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1 x 2 = 632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632
Therefore, the GCF of Fractions 873/632,913/316 is 1/632
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 632,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,316) = 316
common factors(in case of two or more numbers have common factors) = 1
GCF(632,316) x common factors =316 x 1 = 316
LCM(632,316) = ( 632 × 316 ) / 316
LCM(632,316) = 199712 / 316
LCM(632,316) = 632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 873,913?
The HCF of 873,913 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 873/632, 913/316?
Answer: GCF of Numerators as per given numbers 873/632, 913/316 is
GCF of Numerators i.e. for 873,913 is 1
LCM of denominators i.e. for 632,316 is 632.
Thus, GCF of Fractions is 1/632.Finally, GCF of Fractions for 873/632, 913/316 is 1/632.