Use our free GCF of Fractions Calculator tool to compute the GCF of 14/406, 38/452, 971/958 i.e 1/43951124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/406, 38/452, 971/958.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/406,38/452,971/958
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 14/406,38/452,971/958, numerators are 14,38,971
Denominators are 406,452,958
The GCF of 14,38,971 is 1 .
LCM of 406,452,958 is 43951124.
The greatest common factor of 14/406,38/452,971/958 = [GCF of 14,38,971]/[LCM of 406,452,958]= 1/43951124
Therefore, the GCF of 14/406,38/452,971/958 is 1/43951124.
To find the highest common factor of 14,38,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 38 are 1, 2, 19, 38
The factors of 971 are 1, 971
The HCF of 14,38,971 is 1.
Lets's calculate GCF of 14,38,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 14,38,971 . The biggest common factor number is the GCF number.
So the greatest common factor 14,38,971 is 1.
Lets's calculate LCM of 406,452,958
2 | 406, 452, 958 |
203, 226, 479 |
∴ So the LCM of the given numbers is 2 x 203 x 226 x 479 = 43951124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43951124
Therefore, the GCF of Fractions 14/406,38/452,971/958 is 1/43951124
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 406,452,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,452,958) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(406,452,958) x common factors =2 x 2 = 4
LCM(406,452,958) = ( 406 × 452 × 958 ) / 4
LCM(406,452,958) = 175804496 / 4
LCM(406,452,958) = 43951124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,38,971?
The HCF of 14,38,971 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 14/406, 38/452, 971/958?
Answer: GCF of Numerators as per given numbers 14/406, 38/452, 971/958 is
GCF of Numerators i.e. for 14,38,971 is 1
LCM of denominators i.e. for 406,452,958 is 43951124.
Thus, GCF of Fractions is 1/43951124.Finally, GCF of Fractions for 14/406, 38/452, 971/958 is 1/43951124.