GCF of 520/564, 1439/1838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/564, 1439/1838 i.e 1/518316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/564, 1439/1838.
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 520/564,1439/1838?
Given fractions are 520/564,1439/1838
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 520/564,1439/1838, numerators are 520,1439
Denominators are 564,1838
The GCF of 520,1439 is 1 .
LCM of 564,1838 is 518316.
The greatest common factor of 520/564,1439/1838 = [GCF of 520,1439]/[LCM of 564,1838]= 1/518316
Therefore, the GCF of 520/564,1439/1838 is 1/518316.
To find the highest common factor of 520,1439, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 1439 are 1, 1439
The HCF of 520,1439 is 1.
Lets's calculate GCF of 520,1439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 520,1439 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 1439
:1,1439
Greatest Common Factor
We found the factors 520,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 520,1439 is 1.
Lets's calculate LCM of 564,1838
| 2 | 564, 1838 |
| 282, 919 |
∴ So the LCM of the given numbers is 2 x 282 x 919 = 518316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518316
Therefore, the GCF of Fractions 520/564,1439/1838 is 1/518316
Least Common Multiple of 564,1838 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 564,1838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1838) x common factors =2 x 1 = 2
LCM(564,1838) = ( 564 × 1838 ) / 2
LCM(564,1838) = 1036632 / 2
LCM(564,1838) = 518316
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 520/564, 1439/1838
1. What is the HCF of 520,1439?
The HCF of 520,1439 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 520/564, 1439/1838?
Answer: GCF of Numerators as per given numbers 520/564, 1439/1838 is
GCF of Numerators i.e. for 520,1439 is 1
LCM of denominators i.e. for 564,1838 is 518316.
Thus, GCF of Fractions is 1/518316.Finally, GCF of Fractions for 520/564, 1439/1838 is 1/518316.