Use our free GCF of Fractions Calculator tool to compute the GCF of 87/492, 73/271, 990/774 i.e 1/17199828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/492, 73/271, 990/774.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/492,73/271,990/774
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 87/492,73/271,990/774, numerators are 87,73,990
Denominators are 492,271,774
The GCF of 87,73,990 is 1 .
LCM of 492,271,774 is 17199828.
The greatest common factor of 87/492,73/271,990/774 = [GCF of 87,73,990]/[LCM of 492,271,774]= 1/17199828
Therefore, the GCF of 87/492,73/271,990/774 is 1/17199828.
To find the highest common factor of 87,73,990, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 73 are 1, 73
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The HCF of 87,73,990 is 1.
Lets's calculate GCF of 87,73,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 73
:1,73
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 87,73,990 . The biggest common factor number is the GCF number.
So the greatest common factor 87,73,990 is 1.
Lets's calculate LCM of 492,271,774
2 | 492, 271, 774 |
3 | 246, 271, 387 |
82, 271, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 82 x 271 x 129 = 17199828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17199828
Therefore, the GCF of Fractions 87/492,73/271,990/774 is 1/17199828
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 492,271,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,271,774) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(492,271,774) x common factors =1 x 6 = 6
LCM(492,271,774) = ( 492 × 271 × 774 ) / 6
LCM(492,271,774) = 103198968 / 6
LCM(492,271,774) = 17199828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,73,990?
The HCF of 87,73,990 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 87/492, 73/271, 990/774?
Answer: GCF of Numerators as per given numbers 87/492, 73/271, 990/774 is
GCF of Numerators i.e. for 87,73,990 is 1
LCM of denominators i.e. for 492,271,774 is 17199828.
Thus, GCF of Fractions is 1/17199828.Finally, GCF of Fractions for 87/492, 73/271, 990/774 is 1/17199828.