Use our free GCF of Fractions Calculator tool to compute the GCF of 616/459, 475/609 i.e 1/93177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/459, 475/609.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/459,475/609
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 616/459,475/609, numerators are 616,475
Denominators are 459,609
The GCF of 616,475 is 1 .
LCM of 459,609 is 93177.
The greatest common factor of 616/459,475/609 = [GCF of 616,475]/[LCM of 459,609]= 1/93177
Therefore, the GCF of 616/459,475/609 is 1/93177.
To find the highest common factor of 616,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 616,475 is 1.
Lets's calculate GCF of 616,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 616,475 . The biggest common factor number is the GCF number.
So the greatest common factor 616,475 is 1.
Lets's calculate LCM of 459,609
3 | 459, 609 |
153, 203 |
∴ So the LCM of the given numbers is 3 x 153 x 203 = 93177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93177
Therefore, the GCF of Fractions 616/459,475/609 is 1/93177
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 459,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,609) x common factors =3 x 1 = 3
LCM(459,609) = ( 459 × 609 ) / 3
LCM(459,609) = 279531 / 3
LCM(459,609) = 93177
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 616,475?
The HCF of 616,475 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 616/459, 475/609?
Answer: GCF of Numerators as per given numbers 616/459, 475/609 is
GCF of Numerators i.e. for 616,475 is 1
LCM of denominators i.e. for 459,609 is 93177.
Thus, GCF of Fractions is 1/93177.Finally, GCF of Fractions for 616/459, 475/609 is 1/93177.