GCF of 1539/436, 9689/4952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1539/436, 9689/4952 i.e 1/539768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1539/436, 9689/4952.
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 1539/436,9689/4952?
Given fractions are 1539/436,9689/4952
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 1539/436,9689/4952, numerators are 1539,9689
Denominators are 436,4952
The GCF of 1539,9689 is 1 .
LCM of 436,4952 is 539768.
The greatest common factor of 1539/436,9689/4952 = [GCF of 1539,9689]/[LCM of 436,4952]= 1/539768
Therefore, the GCF of 1539/436,9689/4952 is 1/539768.
To find the highest common factor of 1539,9689, we have to find the factors of both numbers and list the highest common factor.
The factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539
The factors of 9689 are 1, 9689
The HCF of 1539,9689 is 1.
Lets's calculate GCF of 1539,9689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1539,9689 By Matching Biggest Common Factor Method
Now, list down the factors of 1539
:1,3,9,19,27,57,81,171,513,1539
Now, list down the factors of 9689
:1,9689
Greatest Common Factor
We found the factors 1539,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 1539,9689 is 1.
Lets's calculate LCM of 436,4952
| 2 | 436, 4952 |
| 2 | 218, 2476 |
| 109, 1238 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 1238 = 539768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539768
Therefore, the GCF of Fractions 1539/436,9689/4952 is 1/539768
Least Common Multiple of 436,4952 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 436,4952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,4952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,4952) x common factors =4 x 1 = 4
LCM(436,4952) = ( 436 × 4952 ) / 4
LCM(436,4952) = 2159072 / 4
LCM(436,4952) = 539768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1539/436, 9689/4952
1. What is the HCF of 1539,9689?
The HCF of 1539,9689 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 1539/436, 9689/4952?
Answer: GCF of Numerators as per given numbers 1539/436, 9689/4952 is
GCF of Numerators i.e. for 1539,9689 is 1
LCM of denominators i.e. for 436,4952 is 539768.
Thus, GCF of Fractions is 1/539768.Finally, GCF of Fractions for 1539/436, 9689/4952 is 1/539768.