Use our free GCF of Fractions Calculator tool to compute the GCF of 169/717, 886/402 i.e 1/96078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/717, 886/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 169/717,886/402
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 169/717,886/402, numerators are 169,886
Denominators are 717,402
The GCF of 169,886 is 1 .
LCM of 717,402 is 96078.
The greatest common factor of 169/717,886/402 = [GCF of 169,886]/[LCM of 717,402]= 1/96078
Therefore, the GCF of 169/717,886/402 is 1/96078.
To find the highest common factor of 169,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 886 are 1, 2, 443, 886
The HCF of 169,886 is 1.
Lets's calculate GCF of 169,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 169,886 . The biggest common factor number is the GCF number.
So the greatest common factor 169,886 is 1.
Lets's calculate LCM of 717,402
3 | 717, 402 |
239, 134 |
∴ So the LCM of the given numbers is 3 x 239 x 134 = 96078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96078
Therefore, the GCF of Fractions 169/717,886/402 is 1/96078
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 717,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,402) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,402) x common factors =3 x 1 = 3
LCM(717,402) = ( 717 × 402 ) / 3
LCM(717,402) = 288234 / 3
LCM(717,402) = 96078
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 169,886?
The HCF of 169,886 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 169/717, 886/402?
Answer: GCF of Numerators as per given numbers 169/717, 886/402 is
GCF of Numerators i.e. for 169,886 is 1
LCM of denominators i.e. for 717,402 is 96078.
Thus, GCF of Fractions is 1/96078.Finally, GCF of Fractions for 169/717, 886/402 is 1/96078.