Use our free GCF of Fractions Calculator tool to compute the GCF of 650/351, 169/345 i.e 13/40365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/351, 169/345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/351,169/345
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 650/351,169/345, numerators are 650,169
Denominators are 351,345
The GCF of 650,169 is 13 .
LCM of 351,345 is 40365.
The greatest common factor of 650/351,169/345 = [GCF of 650,169]/[LCM of 351,345]= 13/40365
Therefore, the GCF of 650/351,169/345 is 13/40365.
To find the highest common factor of 650,169, we have to find the factors of both numbers and list the highest common factor.
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The factors of 169 are 1, 13, 169
The HCF of 650,169 is 13.
Lets's calculate GCF of 650,169
13 | 650, 169 |
50, 13 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 650,169 . The biggest common factor number is the GCF number.
So the greatest common factor 650,169 is 13.
Lets's calculate LCM of 351,345
3 | 351, 345 |
117, 115 |
∴ So the LCM of the given numbers is 3 x 117 x 115 = 40365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/40365
Therefore, the GCF of Fractions 650/351,169/345 is 13/40365
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 351,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,345) x common factors =3 x 1 = 3
LCM(351,345) = ( 351 × 345 ) / 3
LCM(351,345) = 121095 / 3
LCM(351,345) = 40365
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 650,169?
The HCF of 650,169 is 13
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 650/351, 169/345?
Answer: GCF of Numerators as per given numbers 650/351, 169/345 is
GCF of Numerators i.e. for 650,169 is 13
LCM of denominators i.e. for 351,345 is 40365.
Thus, GCF of Fractions is 13/40365.Finally, GCF of Fractions for 650/351, 169/345 is 13/40365.