GCF of 1582/552, 8773/5637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1582/552, 8773/5637 i.e 1/1037208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1582/552, 8773/5637.
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 1582/552,8773/5637?
Given fractions are 1582/552,8773/5637
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 1582/552,8773/5637, numerators are 1582,8773
Denominators are 552,5637
The GCF of 1582,8773 is 1 .
LCM of 552,5637 is 1037208.
The greatest common factor of 1582/552,8773/5637 = [GCF of 1582,8773]/[LCM of 552,5637]= 1/1037208
Therefore, the GCF of 1582/552,8773/5637 is 1/1037208.
To find the highest common factor of 1582,8773, we have to find the factors of both numbers and list the highest common factor.
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The factors of 8773 are 1, 31, 283, 8773
The HCF of 1582,8773 is 1.
Lets's calculate GCF of 1582,8773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1582,8773 By Matching Biggest Common Factor Method
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Now, list down the factors of 8773
:1,31,283,8773
Greatest Common Factor
We found the factors 1582,8773 . The biggest common factor number is the GCF number.
So the greatest common factor 1582,8773 is 1.
Lets's calculate LCM of 552,5637
| 3 | 552, 5637 |
| 184, 1879 |
∴ So the LCM of the given numbers is 3 x 184 x 1879 = 1037208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037208
Therefore, the GCF of Fractions 1582/552,8773/5637 is 1/1037208
Least Common Multiple of 552,5637 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 552,5637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,5637) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,5637) x common factors =3 x 1 = 3
LCM(552,5637) = ( 552 × 5637 ) / 3
LCM(552,5637) = 3111624 / 3
LCM(552,5637) = 1037208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1582/552, 8773/5637
1. What is the HCF of 1582,8773?
The HCF of 1582,8773 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 1582/552, 8773/5637?
Answer: GCF of Numerators as per given numbers 1582/552, 8773/5637 is
GCF of Numerators i.e. for 1582,8773 is 1
LCM of denominators i.e. for 552,5637 is 1037208.
Thus, GCF of Fractions is 1/1037208.Finally, GCF of Fractions for 1582/552, 8773/5637 is 1/1037208.