GCF of 1542/507, 4593/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1542/507, 4593/753 i.e 3/127257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1542/507, 4593/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1542/507,4593/753?
Given fractions are 1542/507,4593/753
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 1542/507,4593/753, numerators are 1542,4593
Denominators are 507,753
The GCF of 1542,4593 is 3 .
LCM of 507,753 is 127257.
The greatest common factor of 1542/507,4593/753 = [GCF of 1542,4593]/[LCM of 507,753]= 3/127257
Therefore, the GCF of 1542/507,4593/753 is 3/127257.
To find the highest common factor of 1542,4593, we have to find the factors of both numbers and list the highest common factor.
The factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542
The factors of 4593 are 1, 3, 1531, 4593
The HCF of 1542,4593 is 3.
Lets's calculate GCF of 1542,4593
| 3 | 1542, 4593 |
| 514, 1531 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1542,4593 By Matching Biggest Common Factor Method
Now, list down the factors of 1542
:1,2,3,6,257,514,771,1542
Now, list down the factors of 4593
:1,3,1531,4593
Greatest Common Factor
We found the factors 1542,4593 . The biggest common factor number is the GCF number.
So the greatest common factor 1542,4593 is 3.
Lets's calculate LCM of 507,753
| 3 | 507, 753 |
| 169, 251 |
∴ So the LCM of the given numbers is 3 x 169 x 251 = 127257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127257
Therefore, the GCF of Fractions 1542/507,4593/753 is 3/127257
Least Common Multiple of 507,753 with GCF Formula
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 507,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,753) x common factors =3 x 1 = 3
LCM(507,753) = ( 507 × 753 ) / 3
LCM(507,753) = 381771 / 3
LCM(507,753) = 127257
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1542/507, 4593/753
1. What is the HCF of 1542,4593?
The HCF of 1542,4593 is 3
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 1542/507, 4593/753?
Answer: GCF of Numerators as per given numbers 1542/507, 4593/753 is
GCF of Numerators i.e. for 1542,4593 is 3
LCM of denominators i.e. for 507,753 is 127257.
Thus, GCF of Fractions is 3/127257.Finally, GCF of Fractions for 1542/507, 4593/753 is 3/127257.