Use our free GCF of Fractions Calculator tool to compute the GCF of 95/30, 424/27, 852/106 i.e 1/14310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/30, 424/27, 852/106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/30,424/27,852/106
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 95/30,424/27,852/106, numerators are 95,424,852
Denominators are 30,27,106
The GCF of 95,424,852 is 1 .
LCM of 30,27,106 is 14310.
The greatest common factor of 95/30,424/27,852/106 = [GCF of 95,424,852]/[LCM of 30,27,106]= 1/14310
Therefore, the GCF of 95/30,424/27,852/106 is 1/14310.
To find the highest common factor of 95,424,852, 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 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 95,424,852 is 1.
Lets's calculate GCF of 95,424,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 95,424,852 . The biggest common factor number is the GCF number.
So the greatest common factor 95,424,852 is 1.
Lets's calculate LCM of 30,27,106
2 | 30, 27, 106 |
3 | 15, 27, 53 |
5, 9, 53 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 53 = 14310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14310
Therefore, the GCF of Fractions 95/30,424/27,852/106 is 1/14310
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 30,27,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,27,106) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(30,27,106) x common factors =1 x 6 = 6
LCM(30,27,106) = ( 30 × 27 × 106 ) / 6
LCM(30,27,106) = 85860 / 6
LCM(30,27,106) = 14310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,424,852?
The HCF of 95,424,852 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 95/30, 424/27, 852/106?
Answer: GCF of Numerators as per given numbers 95/30, 424/27, 852/106 is
GCF of Numerators i.e. for 95,424,852 is 1
LCM of denominators i.e. for 30,27,106 is 14310.
Thus, GCF of Fractions is 1/14310.Finally, GCF of Fractions for 95/30, 424/27, 852/106 is 1/14310.