Use our free GCF of Fractions Calculator tool to compute the GCF of 95/438, 84/339, 438/292 i.e 1/98988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/438, 84/339, 438/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/438,84/339,438/292
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 95/438,84/339,438/292, numerators are 95,84,438
Denominators are 438,339,292
The GCF of 95,84,438 is 1 .
LCM of 438,339,292 is 98988.
The greatest common factor of 95/438,84/339,438/292 = [GCF of 95,84,438]/[LCM of 438,339,292]= 1/98988
Therefore, the GCF of 95/438,84/339,438/292 is 1/98988.
To find the highest common factor of 95,84,438, 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 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 95,84,438 is 1.
Lets's calculate GCF of 95,84,438
∴ 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 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 95,84,438 . The biggest common factor number is the GCF number.
So the greatest common factor 95,84,438 is 1.
Lets's calculate LCM of 438,339,292
2 | 438, 339, 292 |
3 | 219, 339, 146 |
73 | 73, 113, 146 |
1, 113, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 1 x 113 x 2 = 98988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98988
Therefore, the GCF of Fractions 95/438,84/339,438/292 is 1/98988
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 438,339,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,339,292) = 1
common factors(in case of two or more numbers have common factors) = 438
GCF(438,339,292) x common factors =1 x 438 = 438
LCM(438,339,292) = ( 438 × 339 × 292 ) / 438
LCM(438,339,292) = 43356744 / 438
LCM(438,339,292) = 98988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 95,84,438?
The HCF of 95,84,438 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 95/438, 84/339, 438/292?
Answer: GCF of Numerators as per given numbers 95/438, 84/339, 438/292 is
GCF of Numerators i.e. for 95,84,438 is 1
LCM of denominators i.e. for 438,339,292 is 98988.
Thus, GCF of Fractions is 1/98988.Finally, GCF of Fractions for 95/438, 84/339, 438/292 is 1/98988.