Use our free GCF of Fractions Calculator tool to compute the GCF of 95/10, 415/47, 810/169 i.e 5/79430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/10, 415/47, 810/169.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/10,415/47,810/169
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 95/10,415/47,810/169, numerators are 95,415,810
Denominators are 10,47,169
The GCF of 95,415,810 is 5 .
LCM of 10,47,169 is 79430.
The greatest common factor of 95/10,415/47,810/169 = [GCF of 95,415,810]/[LCM of 10,47,169]= 5/79430
Therefore, the GCF of 95/10,415/47,810/169 is 5/79430.
To find the highest common factor of 95,415,810, 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 415 are 1, 5, 83, 415
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 95,415,810 is 5.
Lets's calculate GCF of 95,415,810
5 | 95, 415, 810 |
19, 83, 162 |
∴ 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 415
:1,5,83,415
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 95,415,810 . The biggest common factor number is the GCF number.
So the greatest common factor 95,415,810 is 5.
Lets's calculate LCM of 10,47,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 79430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/79430
Therefore, the GCF of Fractions 95/10,415/47,810/169 is 5/79430
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 10,47,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,47,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,47,169) x common factors =1 x 1 = 1
LCM(10,47,169) = ( 10 × 47 × 169 ) / 1
LCM(10,47,169) = 79430 / 1
LCM(10,47,169) = 79430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,415,810?
The HCF of 95,415,810 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 95/10, 415/47, 810/169?
Answer: GCF of Numerators as per given numbers 95/10, 415/47, 810/169 is
GCF of Numerators i.e. for 95,415,810 is 5
LCM of denominators i.e. for 10,47,169 is 79430.
Thus, GCF of Fractions is 5/79430.Finally, GCF of Fractions for 95/10, 415/47, 810/169 is 5/79430.