GCF of 618/31, 759/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/31, 759/973 i.e 3/30163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/31, 759/973.
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 618/31,759/973?
Given fractions are 618/31,759/973
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 618/31,759/973, numerators are 618,759
Denominators are 31,973
The GCF of 618,759 is 3 .
LCM of 31,973 is 30163.
The greatest common factor of 618/31,759/973 = [GCF of 618,759]/[LCM of 31,973]= 3/30163
Therefore, the GCF of 618/31,759/973 is 3/30163.
To find the highest common factor of 618,759, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The HCF of 618,759 is 3.
Lets's calculate GCF of 618,759
| 3 | 618, 759 |
| 206, 253 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 618,759 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 618,759 . The biggest common factor number is the GCF number.
So the greatest common factor 618,759 is 3.
Lets's calculate LCM of 31,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 30163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30163
Therefore, the GCF of Fractions 618/31,759/973 is 3/30163
Least Common Multiple of 31,973 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 31,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,973) x common factors =1 x 1 = 1
LCM(31,973) = ( 31 × 973 ) / 1
LCM(31,973) = 30163 / 1
LCM(31,973) = 30163
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 618/31, 759/973
1. What is the HCF of 618,759?
The HCF of 618,759 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 618/31, 759/973?
Answer: GCF of Numerators as per given numbers 618/31, 759/973 is
GCF of Numerators i.e. for 618,759 is 3
LCM of denominators i.e. for 31,973 is 30163.
Thus, GCF of Fractions is 3/30163.Finally, GCF of Fractions for 618/31, 759/973 is 3/30163.