Use our free GCF of Fractions Calculator tool to compute the GCF of 145/42, 488/538 i.e 1/11298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/42, 488/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/42,488/538
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 145/42,488/538, numerators are 145,488
Denominators are 42,538
The GCF of 145,488 is 1 .
LCM of 42,538 is 11298.
The greatest common factor of 145/42,488/538 = [GCF of 145,488]/[LCM of 42,538]= 1/11298
Therefore, the GCF of 145/42,488/538 is 1/11298.
To find the highest common factor of 145,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 145,488 is 1.
Lets's calculate GCF of 145,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 145,488 . The biggest common factor number is the GCF number.
So the greatest common factor 145,488 is 1.
Lets's calculate LCM of 42,538
2 | 42, 538 |
21, 269 |
∴ So the LCM of the given numbers is 2 x 21 x 269 = 11298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11298
Therefore, the GCF of Fractions 145/42,488/538 is 1/11298
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 42,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,538) x common factors =2 x 1 = 2
LCM(42,538) = ( 42 × 538 ) / 2
LCM(42,538) = 22596 / 2
LCM(42,538) = 11298
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 145,488?
The HCF of 145,488 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 145/42, 488/538?
Answer: GCF of Numerators as per given numbers 145/42, 488/538 is
GCF of Numerators i.e. for 145,488 is 1
LCM of denominators i.e. for 42,538 is 11298.
Thus, GCF of Fractions is 1/11298.Finally, GCF of Fractions for 145/42, 488/538 is 1/11298.