Use our free GCF of Fractions Calculator tool to compute the GCF of 542/779, 382/178 i.e 2/138662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/779, 382/178.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/779,382/178
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 542/779,382/178, numerators are 542,382
Denominators are 779,178
The GCF of 542,382 is 2 .
LCM of 779,178 is 138662.
The greatest common factor of 542/779,382/178 = [GCF of 542,382]/[LCM of 779,178]= 2/138662
Therefore, the GCF of 542/779,382/178 is 2/138662.
To find the highest common factor of 542,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 382 are 1, 2, 191, 382
The HCF of 542,382 is 2.
Lets's calculate GCF of 542,382
2 | 542, 382 |
271, 191 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 542,382 . The biggest common factor number is the GCF number.
So the greatest common factor 542,382 is 2.
Lets's calculate LCM of 779,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 138662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138662
Therefore, the GCF of Fractions 542/779,382/178 is 2/138662
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 779,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,178) x common factors =1 x 1 = 1
LCM(779,178) = ( 779 × 178 ) / 1
LCM(779,178) = 138662 / 1
LCM(779,178) = 138662
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 542,382?
The HCF of 542,382 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 542/779, 382/178?
Answer: GCF of Numerators as per given numbers 542/779, 382/178 is
GCF of Numerators i.e. for 542,382 is 2
LCM of denominators i.e. for 779,178 is 138662.
Thus, GCF of Fractions is 2/138662.Finally, GCF of Fractions for 542/779, 382/178 is 2/138662.