Use our free GCF of Fractions Calculator tool to compute the GCF of 423/619, 116/345 i.e 1/213555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/619, 116/345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/619,116/345
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 423/619,116/345, numerators are 423,116
Denominators are 619,345
The GCF of 423,116 is 1 .
LCM of 619,345 is 213555.
The greatest common factor of 423/619,116/345 = [GCF of 423,116]/[LCM of 619,345]= 1/213555
Therefore, the GCF of 423/619,116/345 is 1/213555.
To find the highest common factor of 423,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 423,116 is 1.
Lets's calculate GCF of 423,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 423,116 . The biggest common factor number is the GCF number.
So the greatest common factor 423,116 is 1.
Lets's calculate LCM of 619,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 213555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213555
Therefore, the GCF of Fractions 423/619,116/345 is 1/213555
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 619,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,345) x common factors =1 x 1 = 1
LCM(619,345) = ( 619 × 345 ) / 1
LCM(619,345) = 213555 / 1
LCM(619,345) = 213555
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,116?
The HCF of 423,116 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 423/619, 116/345?
Answer: GCF of Numerators as per given numbers 423/619, 116/345 is
GCF of Numerators i.e. for 423,116 is 1
LCM of denominators i.e. for 619,345 is 213555.
Thus, GCF of Fractions is 1/213555.Finally, GCF of Fractions for 423/619, 116/345 is 1/213555.