Use our free GCF of Fractions Calculator tool to compute the GCF of 81/286, 97/869, 634/416 i.e 1/361504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/286, 97/869, 634/416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/286,97/869,634/416
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 81/286,97/869,634/416, numerators are 81,97,634
Denominators are 286,869,416
The GCF of 81,97,634 is 1 .
LCM of 286,869,416 is 361504.
The greatest common factor of 81/286,97/869,634/416 = [GCF of 81,97,634]/[LCM of 286,869,416]= 1/361504
Therefore, the GCF of 81/286,97/869,634/416 is 1/361504.
To find the highest common factor of 81,97,634, 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 97 are 1, 97
The factors of 634 are 1, 2, 317, 634
The HCF of 81,97,634 is 1.
Lets's calculate GCF of 81,97,634
∴ 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 97
:1,97
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 81,97,634 . The biggest common factor number is the GCF number.
So the greatest common factor 81,97,634 is 1.
Lets's calculate LCM of 286,869,416
2 | 286, 869, 416 |
11 | 143, 869, 208 |
13 | 13, 79, 208 |
1, 79, 16 |
∴ So the LCM of the given numbers is 2 x 11 x 13 x 1 x 79 x 16 = 361504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361504
Therefore, the GCF of Fractions 81/286,97/869,634/416 is 1/361504
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 286,869,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,869,416) = 1
common factors(in case of two or more numbers have common factors) = 286
GCF(286,869,416) x common factors =1 x 286 = 286
LCM(286,869,416) = ( 286 × 869 × 416 ) / 286
LCM(286,869,416) = 103390144 / 286
LCM(286,869,416) = 361504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,97,634?
The HCF of 81,97,634 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 81/286, 97/869, 634/416?
Answer: GCF of Numerators as per given numbers 81/286, 97/869, 634/416 is
GCF of Numerators i.e. for 81,97,634 is 1
LCM of denominators i.e. for 286,869,416 is 361504.
Thus, GCF of Fractions is 1/361504.Finally, GCF of Fractions for 81/286, 97/869, 634/416 is 1/361504.