Use our free GCF of Fractions Calculator tool to compute the GCF of 65/523, 257/702, 698/666 i.e 1/13584402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/523, 257/702, 698/666.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/523,257/702,698/666
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 65/523,257/702,698/666, numerators are 65,257,698
Denominators are 523,702,666
The GCF of 65,257,698 is 1 .
LCM of 523,702,666 is 13584402.
The greatest common factor of 65/523,257/702,698/666 = [GCF of 65,257,698]/[LCM of 523,702,666]= 1/13584402
Therefore, the GCF of 65/523,257/702,698/666 is 1/13584402.
To find the highest common factor of 65,257,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 257 are 1, 257
The factors of 698 are 1, 2, 349, 698
The HCF of 65,257,698 is 1.
Lets's calculate GCF of 65,257,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 257
:1,257
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 65,257,698 . The biggest common factor number is the GCF number.
So the greatest common factor 65,257,698 is 1.
Lets's calculate LCM of 523,702,666
2 | 523, 702, 666 |
3 | 523, 351, 333 |
3 | 523, 117, 111 |
523, 39, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 523 x 39 x 37 = 13584402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13584402
Therefore, the GCF of Fractions 65/523,257/702,698/666 is 1/13584402
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 523,702,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,702,666) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(523,702,666) x common factors =1 x 18 = 18
LCM(523,702,666) = ( 523 × 702 × 666 ) / 18
LCM(523,702,666) = 244519236 / 18
LCM(523,702,666) = 13584402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,257,698?
The HCF of 65,257,698 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 65/523, 257/702, 698/666?
Answer: GCF of Numerators as per given numbers 65/523, 257/702, 698/666 is
GCF of Numerators i.e. for 65,257,698 is 1
LCM of denominators i.e. for 523,702,666 is 13584402.
Thus, GCF of Fractions is 1/13584402.Finally, GCF of Fractions for 65/523, 257/702, 698/666 is 1/13584402.