Use our free GCF of Fractions Calculator tool to compute the GCF of 1/72, 65/84, 57/706, 662/594 i.e 1/5871096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/72, 65/84, 57/706, 662/594.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/72,65/84,57/706,662/594
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 1/72,65/84,57/706,662/594, numerators are 1,65,57,662
Denominators are 72,84,706,594
The GCF of 1,65,57,662 is 1 .
LCM of 72,84,706,594 is 5871096.
The greatest common factor of 1/72,65/84,57/706,662/594 = [GCF of 1,65,57,662]/[LCM of 72,84,706,594]= 1/5871096
Therefore, the GCF of 1/72,65/84,57/706,662/594 is 1/5871096.
To find the highest common factor of 1,65,57,662, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 65 are 1, 5, 13, 65
The factors of 57 are 1, 3, 19, 57
The factors of 662 are 1, 2, 331, 662
The HCF of 1,65,57,662 is 1.
Lets's calculate GCF of 1,65,57,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 662
:1,2,331,662
Greatest Common Factor
We found the factors 1,65,57,662 . The biggest common factor number is the GCF number.
So the greatest common factor 1,65,57,662 is 1.
Lets's calculate LCM of 72,84,706,594
2 | 72, 84, 706, 594 |
2 | 36, 42, 353, 297 |
3 | 18, 21, 353, 297 |
3 | 6, 7, 353, 99 |
2, 7, 353, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 7 x 353 x 33 = 5871096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5871096
Therefore, the GCF of Fractions 1/72,65/84,57/706,662/594 is 1/5871096
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 72,84,706,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,84,706,594) = 2
common factors(in case of two or more numbers have common factors) = 216
GCF(72,84,706,594) x common factors =2 x 216 = 432
LCM(72,84,706,594) = ( 72 × 84 × 706 × 594 ) / 432
LCM(72,84,706,594) = 2536313472 / 432
LCM(72,84,706,594) = 5871096
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,65,57,662?
The HCF of 1,65,57,662 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 1/72, 65/84, 57/706, 662/594?
Answer: GCF of Numerators as per given numbers 1/72, 65/84, 57/706, 662/594 is
GCF of Numerators i.e. for 1,65,57,662 is 1
LCM of denominators i.e. for 72,84,706,594 is 5871096.
Thus, GCF of Fractions is 1/5871096.Finally, GCF of Fractions for 1/72, 65/84, 57/706, 662/594 is 1/5871096.