Use our free GCF of Fractions Calculator tool to compute the GCF of 9609/570, 3507/9580 i.e 3/546060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9609/570, 3507/9580.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9609/570,3507/9580
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 9609/570,3507/9580, numerators are 9609,3507
Denominators are 570,9580
The GCF of 9609,3507 is 3 .
LCM of 570,9580 is 546060.
The greatest common factor of 9609/570,3507/9580 = [GCF of 9609,3507]/[LCM of 570,9580]= 3/546060
Therefore, the GCF of 9609/570,3507/9580 is 3/546060.
To find the highest common factor of 9609,3507, we have to find the factors of both numbers and list the highest common factor.
The factors of 9609 are 1, 3, 3203, 9609
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 9609,3507 is 3.
Lets's calculate GCF of 9609,3507
3 | 9609, 3507 |
3203, 1169 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 9609
:1,3,3203,9609
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 9609,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 9609,3507 is 3.
Lets's calculate LCM of 570,9580
2 | 570, 9580 |
5 | 285, 4790 |
57, 958 |
∴ So the LCM of the given numbers is 2 x 5 x 57 x 958 = 546060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/546060
Therefore, the GCF of Fractions 9609/570,3507/9580 is 3/546060
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 570,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,9580) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(570,9580) x common factors =10 x 1 = 10
LCM(570,9580) = ( 570 × 9580 ) / 10
LCM(570,9580) = 5460600 / 10
LCM(570,9580) = 546060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9609,3507?
The HCF of 9609,3507 is 3
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 9609/570, 3507/9580?
Answer: GCF of Numerators as per given numbers 9609/570, 3507/9580 is
GCF of Numerators i.e. for 9609,3507 is 3
LCM of denominators i.e. for 570,9580 is 546060.
Thus, GCF of Fractions is 3/546060.Finally, GCF of Fractions for 9609/570, 3507/9580 is 3/546060.