Use our free GCF of Fractions Calculator tool to compute the GCF of 369/436, 657/839, 357/409 i.e 3/149613836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 369/436, 657/839, 357/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/436,657/839,357/409
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 369/436,657/839,357/409, numerators are 369,657,357
Denominators are 436,839,409
The GCF of 369,657,357 is 3 .
LCM of 436,839,409 is 149613836.
The greatest common factor of 369/436,657/839,357/409 = [GCF of 369,657,357]/[LCM of 436,839,409]= 3/149613836
Therefore, the GCF of 369/436,657/839,357/409 is 3/149613836.
To find the highest common factor of 369,657,357, we have to find the factors of both numbers and list the highest common factor.
The factors of 369 are 1, 3, 9, 41, 123, 369
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The HCF of 369,657,357 is 3.
Lets's calculate GCF of 369,657,357
3 | 369, 657, 357 |
123, 219, 119 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 369
:1,3,9,41,123,369
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 369,657,357 . The biggest common factor number is the GCF number.
So the greatest common factor 369,657,357 is 3.
Lets's calculate LCM of 436,839,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 149613836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149613836
Therefore, the GCF of Fractions 369/436,657/839,357/409 is 3/149613836
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 436,839,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,839,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,839,409) x common factors =1 x 1 = 1
LCM(436,839,409) = ( 436 × 839 × 409 ) / 1
LCM(436,839,409) = 149613836 / 1
LCM(436,839,409) = 149613836
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 369,657,357?
The HCF of 369,657,357 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 369/436, 657/839, 357/409?
Answer: GCF of Numerators as per given numbers 369/436, 657/839, 357/409 is
GCF of Numerators i.e. for 369,657,357 is 3
LCM of denominators i.e. for 436,839,409 is 149613836.
Thus, GCF of Fractions is 3/149613836.Finally, GCF of Fractions for 369/436, 657/839, 357/409 is 3/149613836.