Use our free GCF of Fractions Calculator tool to compute the GCF of 81/814, 74/882 i.e 1/358974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/814, 74/882.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/814,74/882
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 81/814,74/882, numerators are 81,74
Denominators are 814,882
The GCF of 81,74 is 1 .
LCM of 814,882 is 358974.
The greatest common factor of 81/814,74/882 = [GCF of 81,74]/[LCM of 814,882]= 1/358974
Therefore, the GCF of 81/814,74/882 is 1/358974.
To find the highest common factor of 81,74, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 74 are 1, 2, 37, 74
The HCF of 81,74 is 1.
Lets's calculate GCF of 81,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 74
:1,2,37,74
Greatest Common Factor
We found the factors 81,74 . The biggest common factor number is the GCF number.
So the greatest common factor 81,74 is 1.
Lets's calculate LCM of 814,882
2 | 814, 882 |
407, 441 |
∴ So the LCM of the given numbers is 2 x 407 x 441 = 358974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358974
Therefore, the GCF of Fractions 81/814,74/882 is 1/358974
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 814,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,882) x common factors =2 x 1 = 2
LCM(814,882) = ( 814 × 882 ) / 2
LCM(814,882) = 717948 / 2
LCM(814,882) = 358974
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,74?
The HCF of 81,74 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 81/814, 74/882?
Answer: GCF of Numerators as per given numbers 81/814, 74/882 is
GCF of Numerators i.e. for 81,74 is 1
LCM of denominators i.e. for 814,882 is 358974.
Thus, GCF of Fractions is 1/358974.Finally, GCF of Fractions for 81/814, 74/882 is 1/358974.