Use our free GCF of Fractions Calculator tool to compute the GCF of 86/47, 744/36, 378/212 i.e 2/89676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/47, 744/36, 378/212.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/47,744/36,378/212
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 86/47,744/36,378/212, numerators are 86,744,378
Denominators are 47,36,212
The GCF of 86,744,378 is 2 .
LCM of 47,36,212 is 89676.
The greatest common factor of 86/47,744/36,378/212 = [GCF of 86,744,378]/[LCM of 47,36,212]= 2/89676
Therefore, the GCF of 86/47,744/36,378/212 is 2/89676.
To find the highest common factor of 86,744,378, 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 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 86,744,378 is 2.
Lets's calculate GCF of 86,744,378
2 | 86, 744, 378 |
43, 372, 189 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 86,744,378 . The biggest common factor number is the GCF number.
So the greatest common factor 86,744,378 is 2.
Lets's calculate LCM of 47,36,212
2 | 47, 36, 212 |
2 | 47, 18, 106 |
47, 9, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 9 x 53 = 89676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89676
Therefore, the GCF of Fractions 86/47,744/36,378/212 is 2/89676
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 47,36,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,36,212) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(47,36,212) x common factors =1 x 4 = 4
LCM(47,36,212) = ( 47 × 36 × 212 ) / 4
LCM(47,36,212) = 358704 / 4
LCM(47,36,212) = 89676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,744,378?
The HCF of 86,744,378 is 2
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 86/47, 744/36, 378/212?
Answer: GCF of Numerators as per given numbers 86/47, 744/36, 378/212 is
GCF of Numerators i.e. for 86,744,378 is 2
LCM of denominators i.e. for 47,36,212 is 89676.
Thus, GCF of Fractions is 2/89676.Finally, GCF of Fractions for 86/47, 744/36, 378/212 is 2/89676.