Use our free GCF of Fractions Calculator tool to compute the GCF of 2675/165, 9322/7403 i.e 1/111045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2675/165, 9322/7403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2675/165,9322/7403
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 2675/165,9322/7403, numerators are 2675,9322
Denominators are 165,7403
The GCF of 2675,9322 is 1 .
LCM of 165,7403 is 111045.
The greatest common factor of 2675/165,9322/7403 = [GCF of 2675,9322]/[LCM of 165,7403]= 1/111045
Therefore, the GCF of 2675/165,9322/7403 is 1/111045.
To find the highest common factor of 2675,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 2675 are 1, 5, 25, 107, 535, 2675
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 2675,9322 is 1.
Lets's calculate GCF of 2675,9322
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2675
:1,5,25,107,535,2675
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 2675,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,9322 is 1.
Lets's calculate LCM of 165,7403
11 | 165, 7403 |
15, 673 |
∴ So the LCM of the given numbers is 11 x 15 x 673 = 111045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111045
Therefore, the GCF of Fractions 2675/165,9322/7403 is 1/111045
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 165,7403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,7403) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(165,7403) x common factors =11 x 1 = 11
LCM(165,7403) = ( 165 × 7403 ) / 11
LCM(165,7403) = 1221495 / 11
LCM(165,7403) = 111045
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2675,9322?
The HCF of 2675,9322 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 2675/165, 9322/7403?
Answer: GCF of Numerators as per given numbers 2675/165, 9322/7403 is
GCF of Numerators i.e. for 2675,9322 is 1
LCM of denominators i.e. for 165,7403 is 111045.
Thus, GCF of Fractions is 1/111045.Finally, GCF of Fractions for 2675/165, 9322/7403 is 1/111045.