Use our free GCF of Fractions Calculator tool to compute the GCF of 38/96, 540/41, 749/536 i.e 1/263712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/96, 540/41, 749/536.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/96,540/41,749/536
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 38/96,540/41,749/536, numerators are 38,540,749
Denominators are 96,41,536
The GCF of 38,540,749 is 1 .
LCM of 96,41,536 is 263712.
The greatest common factor of 38/96,540/41,749/536 = [GCF of 38,540,749]/[LCM of 96,41,536]= 1/263712
Therefore, the GCF of 38/96,540/41,749/536 is 1/263712.
To find the highest common factor of 38,540,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 749 are 1, 7, 107, 749
The HCF of 38,540,749 is 1.
Lets's calculate GCF of 38,540,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 38,540,749 . The biggest common factor number is the GCF number.
So the greatest common factor 38,540,749 is 1.
Lets's calculate LCM of 96,41,536
2 | 96, 41, 536 |
2 | 48, 41, 268 |
2 | 24, 41, 134 |
12, 41, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 41 x 67 = 263712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263712
Therefore, the GCF of Fractions 38/96,540/41,749/536 is 1/263712
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 96,41,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,41,536) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(96,41,536) x common factors =1 x 8 = 8
LCM(96,41,536) = ( 96 × 41 × 536 ) / 8
LCM(96,41,536) = 2109696 / 8
LCM(96,41,536) = 263712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,540,749?
The HCF of 38,540,749 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 38/96, 540/41, 749/536?
Answer: GCF of Numerators as per given numbers 38/96, 540/41, 749/536 is
GCF of Numerators i.e. for 38,540,749 is 1
LCM of denominators i.e. for 96,41,536 is 263712.
Thus, GCF of Fractions is 1/263712.Finally, GCF of Fractions for 38/96, 540/41, 749/536 is 1/263712.