GCF of 5223/123, 3670/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5223/123, 3670/825 i.e 1/33825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5223/123, 3670/825.
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 5223/123,3670/825?
Given fractions are 5223/123,3670/825
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 5223/123,3670/825, numerators are 5223,3670
Denominators are 123,825
The GCF of 5223,3670 is 1 .
LCM of 123,825 is 33825.
The greatest common factor of 5223/123,3670/825 = [GCF of 5223,3670]/[LCM of 123,825]= 1/33825
Therefore, the GCF of 5223/123,3670/825 is 1/33825.
To find the highest common factor of 5223,3670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5223 are 1, 3, 1741, 5223
The factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670
The HCF of 5223,3670 is 1.
Lets's calculate GCF of 5223,3670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5223,3670 By Matching Biggest Common Factor Method
Now, list down the factors of 5223
:1,3,1741,5223
Now, list down the factors of 3670
:1,2,5,10,367,734,1835,3670
Greatest Common Factor
We found the factors 5223,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 5223,3670 is 1.
Lets's calculate LCM of 123,825
| 3 | 123, 825 |
| 41, 275 |
∴ So the LCM of the given numbers is 3 x 41 x 275 = 33825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33825
Therefore, the GCF of Fractions 5223/123,3670/825 is 1/33825
Least Common Multiple of 123,825 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 123,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,825) x common factors =3 x 1 = 3
LCM(123,825) = ( 123 × 825 ) / 3
LCM(123,825) = 101475 / 3
LCM(123,825) = 33825
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5223/123, 3670/825
1. What is the HCF of 5223,3670?
The HCF of 5223,3670 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 5223/123, 3670/825?
Answer: GCF of Numerators as per given numbers 5223/123, 3670/825 is
GCF of Numerators i.e. for 5223,3670 is 1
LCM of denominators i.e. for 123,825 is 33825.
Thus, GCF of Fractions is 1/33825.Finally, GCF of Fractions for 5223/123, 3670/825 is 1/33825.