GCF of 2439/813, 3438/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2439/813, 3438/561 i.e 9/152031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2439/813, 3438/561.
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 2439/813,3438/561?
Given fractions are 2439/813,3438/561
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 2439/813,3438/561, numerators are 2439,3438
Denominators are 813,561
The GCF of 2439,3438 is 9 .
LCM of 813,561 is 152031.
The greatest common factor of 2439/813,3438/561 = [GCF of 2439,3438]/[LCM of 813,561]= 9/152031
Therefore, the GCF of 2439/813,3438/561 is 9/152031.
To find the highest common factor of 2439,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 2439 are 1, 3, 9, 271, 813, 2439
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 2439,3438 is 9.
Lets's calculate GCF of 2439,3438
| 3 | 2439, 3438 |
| 3 | 813, 1146 |
| 271, 382 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2439,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 2439
:1,3,9,271,813,2439
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 2439,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 2439,3438 is 9.
Lets's calculate LCM of 813,561
| 3 | 813, 561 |
| 271, 187 |
∴ So the LCM of the given numbers is 3 x 271 x 187 = 152031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/152031
Therefore, the GCF of Fractions 2439/813,3438/561 is 9/152031
Least Common Multiple of 813,561 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 813,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,561) x common factors =3 x 1 = 3
LCM(813,561) = ( 813 × 561 ) / 3
LCM(813,561) = 456093 / 3
LCM(813,561) = 152031
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FAQs on GCF of Fractions of 2439/813, 3438/561
1. What is the HCF of 2439,3438?
The HCF of 2439,3438 is 9
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 2439/813, 3438/561?
Answer: GCF of Numerators as per given numbers 2439/813, 3438/561 is
GCF of Numerators i.e. for 2439,3438 is 9
LCM of denominators i.e. for 813,561 is 152031.
Thus, GCF of Fractions is 9/152031.Finally, GCF of Fractions for 2439/813, 3438/561 is 9/152031.