Use our free GCF of Fractions Calculator tool to compute the GCF of 29/165, 65/8302 i.e 1/1369830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/165, 65/8302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/165,65/8302
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 29/165,65/8302, numerators are 29,65
Denominators are 165,8302
The GCF of 29,65 is 1 .
LCM of 165,8302 is 1369830.
The greatest common factor of 29/165,65/8302 = [GCF of 29,65]/[LCM of 165,8302]= 1/1369830
Therefore, the GCF of 29/165,65/8302 is 1/1369830.
To find the highest common factor of 29,65, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 65 are 1, 5, 13, 65
The HCF of 29,65 is 1.
Lets's calculate GCF of 29,65
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 165,8302
Given numbers has no common factors except 1. So, there LCM is their product i.e 1369830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369830
Therefore, the GCF of Fractions 29/165,65/8302 is 1/1369830
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 165,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,8302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,8302) x common factors =1 x 1 = 1
LCM(165,8302) = ( 165 × 8302 ) / 1
LCM(165,8302) = 1369830 / 1
LCM(165,8302) = 1369830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,65?
The HCF of 29,65 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 29/165, 65/8302?
Answer: GCF of Numerators as per given numbers 29/165, 65/8302 is
GCF of Numerators i.e. for 29,65 is 1
LCM of denominators i.e. for 165,8302 is 1369830.
Thus, GCF of Fractions is 1/1369830.Finally, GCF of Fractions for 29/165, 65/8302 is 1/1369830.