Use our free GCF of Fractions Calculator tool to compute the GCF of 153/347, 958/766 i.e 1/265802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/347, 958/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 153/347,958/766
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 153/347,958/766, numerators are 153,958
Denominators are 347,766
The GCF of 153,958 is 1 .
LCM of 347,766 is 265802.
The greatest common factor of 153/347,958/766 = [GCF of 153,958]/[LCM of 347,766]= 1/265802
Therefore, the GCF of 153/347,958/766 is 1/265802.
To find the highest common factor of 153,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 153 are 1, 3, 9, 17, 51, 153
The factors of 958 are 1, 2, 479, 958
The HCF of 153,958 is 1.
Lets's calculate GCF of 153,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 153
:1,3,9,17,51,153
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 153,958 . The biggest common factor number is the GCF number.
So the greatest common factor 153,958 is 1.
Lets's calculate LCM of 347,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 265802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265802
Therefore, the GCF of Fractions 153/347,958/766 is 1/265802
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 347,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,766) x common factors =1 x 1 = 1
LCM(347,766) = ( 347 × 766 ) / 1
LCM(347,766) = 265802 / 1
LCM(347,766) = 265802
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 153,958?
The HCF of 153,958 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 153/347, 958/766?
Answer: GCF of Numerators as per given numbers 153/347, 958/766 is
GCF of Numerators i.e. for 153,958 is 1
LCM of denominators i.e. for 347,766 is 265802.
Thus, GCF of Fractions is 1/265802.Finally, GCF of Fractions for 153/347, 958/766 is 1/265802.