Use our free GCF of Fractions Calculator tool to compute the GCF of 9/63, 71/23, 95/604, 270/162 i.e 1/7876764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/63, 71/23, 95/604, 270/162.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/63,71/23,95/604,270/162
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 9/63,71/23,95/604,270/162, numerators are 9,71,95,270
Denominators are 63,23,604,162
The GCF of 9,71,95,270 is 1 .
LCM of 63,23,604,162 is 7876764.
The greatest common factor of 9/63,71/23,95/604,270/162 = [GCF of 9,71,95,270]/[LCM of 63,23,604,162]= 1/7876764
Therefore, the GCF of 9/63,71/23,95/604,270/162 is 1/7876764.
To find the highest common factor of 9,71,95,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 71 are 1, 71
The factors of 95 are 1, 5, 19, 95
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 9,71,95,270 is 1.
Lets's calculate GCF of 9,71,95,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 71
:1,71
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 9,71,95,270 . The biggest common factor number is the GCF number.
So the greatest common factor 9,71,95,270 is 1.
Lets's calculate LCM of 63,23,604,162
2 | 63, 23, 604, 162 |
3 | 63, 23, 302, 81 |
3 | 21, 23, 302, 27 |
7, 23, 302, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 23 x 302 x 9 = 7876764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7876764
Therefore, the GCF of Fractions 9/63,71/23,95/604,270/162 is 1/7876764
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 63,23,604,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,23,604,162) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(63,23,604,162) x common factors =1 x 18 = 18
LCM(63,23,604,162) = ( 63 × 23 × 604 × 162 ) / 18
LCM(63,23,604,162) = 141781752 / 18
LCM(63,23,604,162) = 7876764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,71,95,270?
The HCF of 9,71,95,270 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 9/63, 71/23, 95/604, 270/162?
Answer: GCF of Numerators as per given numbers 9/63, 71/23, 95/604, 270/162 is
GCF of Numerators i.e. for 9,71,95,270 is 1
LCM of denominators i.e. for 63,23,604,162 is 7876764.
Thus, GCF of Fractions is 1/7876764.Finally, GCF of Fractions for 9/63, 71/23, 95/604, 270/162 is 1/7876764.