Use our free GCF of Fractions Calculator tool to compute the GCF of 983/656, 665/476 i.e 1/78064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/656, 665/476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/656,665/476
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 983/656,665/476, numerators are 983,665
Denominators are 656,476
The GCF of 983,665 is 1 .
LCM of 656,476 is 78064.
The greatest common factor of 983/656,665/476 = [GCF of 983,665]/[LCM of 656,476]= 1/78064
Therefore, the GCF of 983/656,665/476 is 1/78064.
To find the highest common factor of 983,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 983,665 is 1.
Lets's calculate GCF of 983,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 983
:1,983
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 983,665 . The biggest common factor number is the GCF number.
So the greatest common factor 983,665 is 1.
Lets's calculate LCM of 656,476
2 | 656, 476 |
2 | 328, 238 |
164, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 164 x 119 = 78064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78064
Therefore, the GCF of Fractions 983/656,665/476 is 1/78064
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 656,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(656,476) x common factors =4 x 1 = 4
LCM(656,476) = ( 656 × 476 ) / 4
LCM(656,476) = 312256 / 4
LCM(656,476) = 78064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 983,665?
The HCF of 983,665 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 983/656, 665/476?
Answer: GCF of Numerators as per given numbers 983/656, 665/476 is
GCF of Numerators i.e. for 983,665 is 1
LCM of denominators i.e. for 656,476 is 78064.
Thus, GCF of Fractions is 1/78064.Finally, GCF of Fractions for 983/656, 665/476 is 1/78064.