Use our free GCF of Fractions Calculator tool to compute the GCF of 767/210, 184/165 i.e 1/2310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/210, 184/165.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 767/210,184/165
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 767/210,184/165, numerators are 767,184
Denominators are 210,165
The GCF of 767,184 is 1 .
LCM of 210,165 is 2310.
The greatest common factor of 767/210,184/165 = [GCF of 767,184]/[LCM of 210,165]= 1/2310
Therefore, the GCF of 767/210,184/165 is 1/2310.
To find the highest common factor of 767,184, we have to find the factors of both numbers and list the highest common factor.
The factors of 767 are 1, 13, 59, 767
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 767,184 is 1.
Lets's calculate GCF of 767,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 767
:1,13,59,767
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 767,184 . The biggest common factor number is the GCF number.
So the greatest common factor 767,184 is 1.
Lets's calculate LCM of 210,165
3 | 210, 165 |
5 | 70, 55 |
14, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 14 x 11 = 2310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310
Therefore, the GCF of Fractions 767/210,184/165 is 1/2310
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 210,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,165) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(210,165) x common factors =15 x 1 = 15
LCM(210,165) = ( 210 × 165 ) / 15
LCM(210,165) = 34650 / 15
LCM(210,165) = 2310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 767,184?
The HCF of 767,184 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 767/210, 184/165?
Answer: GCF of Numerators as per given numbers 767/210, 184/165 is
GCF of Numerators i.e. for 767,184 is 1
LCM of denominators i.e. for 210,165 is 2310.
Thus, GCF of Fractions is 1/2310.Finally, GCF of Fractions for 767/210, 184/165 is 1/2310.