Use our free GCF of Fractions Calculator tool to compute the GCF of 86/12, 224/56, 797/404 i.e 1/16968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/12, 224/56, 797/404.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/12,224/56,797/404
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 86/12,224/56,797/404, numerators are 86,224,797
Denominators are 12,56,404
The GCF of 86,224,797 is 1 .
LCM of 12,56,404 is 16968.
The greatest common factor of 86/12,224/56,797/404 = [GCF of 86,224,797]/[LCM of 12,56,404]= 1/16968
Therefore, the GCF of 86/12,224/56,797/404 is 1/16968.
To find the highest common factor of 86,224,797, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 797 are 1, 797
The HCF of 86,224,797 is 1.
Lets's calculate GCF of 86,224,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 797
:1,797
Greatest Common Factor
We found the factors 86,224,797 . The biggest common factor number is the GCF number.
So the greatest common factor 86,224,797 is 1.
Lets's calculate LCM of 12,56,404
2 | 12, 56, 404 |
2 | 6, 28, 202 |
3, 14, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 101 = 16968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16968
Therefore, the GCF of Fractions 86/12,224/56,797/404 is 1/16968
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 12,56,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,56,404) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(12,56,404) x common factors =4 x 4 = 16
LCM(12,56,404) = ( 12 × 56 × 404 ) / 16
LCM(12,56,404) = 271488 / 16
LCM(12,56,404) = 16968
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,224,797?
The HCF of 86,224,797 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 86/12, 224/56, 797/404?
Answer: GCF of Numerators as per given numbers 86/12, 224/56, 797/404 is
GCF of Numerators i.e. for 86,224,797 is 1
LCM of denominators i.e. for 12,56,404 is 16968.
Thus, GCF of Fractions is 1/16968.Finally, GCF of Fractions for 86/12, 224/56, 797/404 is 1/16968.