Use our free GCF of Fractions Calculator tool to compute the GCF of 76/372, 111/789, 175/642 i.e 1/10468452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/372, 111/789, 175/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/372,111/789,175/642
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 76/372,111/789,175/642, numerators are 76,111,175
Denominators are 372,789,642
The GCF of 76,111,175 is 1 .
LCM of 372,789,642 is 10468452.
The greatest common factor of 76/372,111/789,175/642 = [GCF of 76,111,175]/[LCM of 372,789,642]= 1/10468452
Therefore, the GCF of 76/372,111/789,175/642 is 1/10468452.
To find the highest common factor of 76,111,175, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 111 are 1, 3, 37, 111
The factors of 175 are 1, 5, 7, 25, 35, 175
The HCF of 76,111,175 is 1.
Lets's calculate GCF of 76,111,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 175
:1,5,7,25,35,175
Greatest Common Factor
We found the factors 76,111,175 . The biggest common factor number is the GCF number.
So the greatest common factor 76,111,175 is 1.
Lets's calculate LCM of 372,789,642
2 | 372, 789, 642 |
3 | 186, 789, 321 |
62, 263, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 263 x 107 = 10468452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10468452
Therefore, the GCF of Fractions 76/372,111/789,175/642 is 1/10468452
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 372,789,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,789,642) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(372,789,642) x common factors =3 x 6 = 18
LCM(372,789,642) = ( 372 × 789 × 642 ) / 18
LCM(372,789,642) = 188432136 / 18
LCM(372,789,642) = 10468452
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 76,111,175?
The HCF of 76,111,175 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 76/372, 111/789, 175/642?
Answer: GCF of Numerators as per given numbers 76/372, 111/789, 175/642 is
GCF of Numerators i.e. for 76,111,175 is 1
LCM of denominators i.e. for 372,789,642 is 10468452.
Thus, GCF of Fractions is 1/10468452.Finally, GCF of Fractions for 76/372, 111/789, 175/642 is 1/10468452.