Use our free GCF of Fractions Calculator tool to compute the GCF of 86/278, 74/387, 773/172 i.e 1/215172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/278, 74/387, 773/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/278,74/387,773/172
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 86/278,74/387,773/172, numerators are 86,74,773
Denominators are 278,387,172
The GCF of 86,74,773 is 1 .
LCM of 278,387,172 is 215172.
The greatest common factor of 86/278,74/387,773/172 = [GCF of 86,74,773]/[LCM of 278,387,172]= 1/215172
Therefore, the GCF of 86/278,74/387,773/172 is 1/215172.
To find the highest common factor of 86,74,773, 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 74 are 1, 2, 37, 74
The factors of 773 are 1, 773
The HCF of 86,74,773 is 1.
Lets's calculate GCF of 86,74,773
∴ 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 74
:1,2,37,74
Now, list down the factors of 773
:1,773
Greatest Common Factor
We found the factors 86,74,773 . The biggest common factor number is the GCF number.
So the greatest common factor 86,74,773 is 1.
Lets's calculate LCM of 278,387,172
2 | 278, 387, 172 |
43 | 139, 387, 86 |
139, 9, 2 |
∴ So the LCM of the given numbers is 2 x 43 x 139 x 9 x 2 = 215172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215172
Therefore, the GCF of Fractions 86/278,74/387,773/172 is 1/215172
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 278,387,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,387,172) = 1
common factors(in case of two or more numbers have common factors) = 86
GCF(278,387,172) x common factors =1 x 86 = 86
LCM(278,387,172) = ( 278 × 387 × 172 ) / 86
LCM(278,387,172) = 18504792 / 86
LCM(278,387,172) = 215172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,74,773?
The HCF of 86,74,773 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 86/278, 74/387, 773/172?
Answer: GCF of Numerators as per given numbers 86/278, 74/387, 773/172 is
GCF of Numerators i.e. for 86,74,773 is 1
LCM of denominators i.e. for 278,387,172 is 215172.
Thus, GCF of Fractions is 1/215172.Finally, GCF of Fractions for 86/278, 74/387, 773/172 is 1/215172.