Use our free GCF of Fractions Calculator tool to compute the GCF of 42/91, 538/83, 332/849 i.e 2/6412497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/91, 538/83, 332/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/91,538/83,332/849
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 42/91,538/83,332/849, numerators are 42,538,332
Denominators are 91,83,849
The GCF of 42,538,332 is 2 .
LCM of 91,83,849 is 6412497.
The greatest common factor of 42/91,538/83,332/849 = [GCF of 42,538,332]/[LCM of 91,83,849]= 2/6412497
Therefore, the GCF of 42/91,538/83,332/849 is 2/6412497.
To find the highest common factor of 42,538,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 538 are 1, 2, 269, 538
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 42,538,332 is 2.
Lets's calculate GCF of 42,538,332
2 | 42, 538, 332 |
21, 269, 166 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 538
:1,2,269,538
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 42,538,332 . The biggest common factor number is the GCF number.
So the greatest common factor 42,538,332 is 2.
Lets's calculate LCM of 91,83,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 6412497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6412497
Therefore, the GCF of Fractions 42/91,538/83,332/849 is 2/6412497
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 91,83,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,83,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,83,849) x common factors =1 x 1 = 1
LCM(91,83,849) = ( 91 × 83 × 849 ) / 1
LCM(91,83,849) = 6412497 / 1
LCM(91,83,849) = 6412497
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 42,538,332?
The HCF of 42,538,332 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 42/91, 538/83, 332/849?
Answer: GCF of Numerators as per given numbers 42/91, 538/83, 332/849 is
GCF of Numerators i.e. for 42,538,332 is 2
LCM of denominators i.e. for 91,83,849 is 6412497.
Thus, GCF of Fractions is 2/6412497.Finally, GCF of Fractions for 42/91, 538/83, 332/849 is 2/6412497.