Use our free GCF of Fractions Calculator tool to compute the GCF of 982/187, 862/447 i.e 2/83589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/187, 862/447.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/187,862/447
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 982/187,862/447, numerators are 982,862
Denominators are 187,447
The GCF of 982,862 is 2 .
LCM of 187,447 is 83589.
The greatest common factor of 982/187,862/447 = [GCF of 982,862]/[LCM of 187,447]= 2/83589
Therefore, the GCF of 982/187,862/447 is 2/83589.
To find the highest common factor of 982,862, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 862 are 1, 2, 431, 862
The HCF of 982,862 is 2.
Lets's calculate GCF of 982,862
2 | 982, 862 |
491, 431 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 862
:1,2,431,862
Greatest Common Factor
We found the factors 982,862 . The biggest common factor number is the GCF number.
So the greatest common factor 982,862 is 2.
Lets's calculate LCM of 187,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 83589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83589
Therefore, the GCF of Fractions 982/187,862/447 is 2/83589
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 187,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,447) x common factors =1 x 1 = 1
LCM(187,447) = ( 187 × 447 ) / 1
LCM(187,447) = 83589 / 1
LCM(187,447) = 83589
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 982,862?
The HCF of 982,862 is 2
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 982/187, 862/447?
Answer: GCF of Numerators as per given numbers 982/187, 862/447 is
GCF of Numerators i.e. for 982,862 is 2
LCM of denominators i.e. for 187,447 is 83589.
Thus, GCF of Fractions is 2/83589.Finally, GCF of Fractions for 982/187, 862/447 is 2/83589.