Use our free GCF of Fractions Calculator tool to compute the GCF of 661/176, 494/542 i.e 1/47696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/176, 494/542.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/176,494/542
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 661/176,494/542, numerators are 661,494
Denominators are 176,542
The GCF of 661,494 is 1 .
LCM of 176,542 is 47696.
The greatest common factor of 661/176,494/542 = [GCF of 661,494]/[LCM of 176,542]= 1/47696
Therefore, the GCF of 661/176,494/542 is 1/47696.
To find the highest common factor of 661,494, we have to find the factors of both numbers and list the highest common factor.
The factors of 661 are 1, 661
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The HCF of 661,494 is 1.
Lets's calculate GCF of 661,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 661
:1,661
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 661,494 . The biggest common factor number is the GCF number.
So the greatest common factor 661,494 is 1.
Lets's calculate LCM of 176,542
2 | 176, 542 |
88, 271 |
∴ So the LCM of the given numbers is 2 x 88 x 271 = 47696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47696
Therefore, the GCF of Fractions 661/176,494/542 is 1/47696
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 176,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,542) x common factors =2 x 1 = 2
LCM(176,542) = ( 176 × 542 ) / 2
LCM(176,542) = 95392 / 2
LCM(176,542) = 47696
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 661,494?
The HCF of 661,494 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 661/176, 494/542?
Answer: GCF of Numerators as per given numbers 661/176, 494/542 is
GCF of Numerators i.e. for 661,494 is 1
LCM of denominators i.e. for 176,542 is 47696.
Thus, GCF of Fractions is 1/47696.Finally, GCF of Fractions for 661/176, 494/542 is 1/47696.