Use our free GCF of Fractions Calculator tool to compute the GCF of 95/34, 150/59, 305/345 i.e 5/692070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/34, 150/59, 305/345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/34,150/59,305/345
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 95/34,150/59,305/345, numerators are 95,150,305
Denominators are 34,59,345
The GCF of 95,150,305 is 5 .
LCM of 34,59,345 is 692070.
The greatest common factor of 95/34,150/59,305/345 = [GCF of 95,150,305]/[LCM of 34,59,345]= 5/692070
Therefore, the GCF of 95/34,150/59,305/345 is 5/692070.
To find the highest common factor of 95,150,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 305 are 1, 5, 61, 305
The HCF of 95,150,305 is 5.
Lets's calculate GCF of 95,150,305
5 | 95, 150, 305 |
19, 30, 61 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 95,150,305 . The biggest common factor number is the GCF number.
So the greatest common factor 95,150,305 is 5.
Lets's calculate LCM of 34,59,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 692070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/692070
Therefore, the GCF of Fractions 95/34,150/59,305/345 is 5/692070
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 34,59,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,59,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,59,345) x common factors =1 x 1 = 1
LCM(34,59,345) = ( 34 × 59 × 345 ) / 1
LCM(34,59,345) = 692070 / 1
LCM(34,59,345) = 692070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,150,305?
The HCF of 95,150,305 is 5
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 95/34, 150/59, 305/345?
Answer: GCF of Numerators as per given numbers 95/34, 150/59, 305/345 is
GCF of Numerators i.e. for 95,150,305 is 5
LCM of denominators i.e. for 34,59,345 is 692070.
Thus, GCF of Fractions is 5/692070.Finally, GCF of Fractions for 95/34, 150/59, 305/345 is 5/692070.