GCF of 5422/123, 1524/5643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5422/123, 1524/5643 i.e 2/231363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5422/123, 1524/5643.
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 5422/123,1524/5643?
Given fractions are 5422/123,1524/5643
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 5422/123,1524/5643, numerators are 5422,1524
Denominators are 123,5643
The GCF of 5422,1524 is 2 .
LCM of 123,5643 is 231363.
The greatest common factor of 5422/123,1524/5643 = [GCF of 5422,1524]/[LCM of 123,5643]= 2/231363
Therefore, the GCF of 5422/123,1524/5643 is 2/231363.
To find the highest common factor of 5422,1524, we have to find the factors of both numbers and list the highest common factor.
The factors of 5422 are 1, 2, 2711, 5422
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The HCF of 5422,1524 is 2.
Lets's calculate GCF of 5422,1524
| 2 | 5422, 1524 |
| 2711, 762 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5422,1524 By Matching Biggest Common Factor Method
Now, list down the factors of 5422
:1,2,2711,5422
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 5422,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 5422,1524 is 2.
Lets's calculate LCM of 123,5643
| 3 | 123, 5643 |
| 41, 1881 |
∴ So the LCM of the given numbers is 3 x 41 x 1881 = 231363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/231363
Therefore, the GCF of Fractions 5422/123,1524/5643 is 2/231363
Least Common Multiple of 123,5643 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 123,5643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5643) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5643) x common factors =3 x 1 = 3
LCM(123,5643) = ( 123 × 5643 ) / 3
LCM(123,5643) = 694089 / 3
LCM(123,5643) = 231363
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5422/123, 1524/5643
1. What is the HCF of 5422,1524?
The HCF of 5422,1524 is 2
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 5422/123, 1524/5643?
Answer: GCF of Numerators as per given numbers 5422/123, 1524/5643 is
GCF of Numerators i.e. for 5422,1524 is 2
LCM of denominators i.e. for 123,5643 is 231363.
Thus, GCF of Fractions is 2/231363.Finally, GCF of Fractions for 5422/123, 1524/5643 is 2/231363.