GCF of 7851/405, 2439/8421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7851/405, 2439/8421 i.e 3/1136835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7851/405, 2439/8421.
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 7851/405,2439/8421?
Given fractions are 7851/405,2439/8421
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 7851/405,2439/8421, numerators are 7851,2439
Denominators are 405,8421
The GCF of 7851,2439 is 3 .
LCM of 405,8421 is 1136835.
The greatest common factor of 7851/405,2439/8421 = [GCF of 7851,2439]/[LCM of 405,8421]= 3/1136835
Therefore, the GCF of 7851/405,2439/8421 is 3/1136835.
To find the highest common factor of 7851,2439, we have to find the factors of both numbers and list the highest common factor.
The factors of 7851 are 1, 3, 2617, 7851
The factors of 2439 are 1, 3, 9, 271, 813, 2439
The HCF of 7851,2439 is 3.
Lets's calculate GCF of 7851,2439
| 3 | 7851, 2439 |
| 2617, 813 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7851,2439 By Matching Biggest Common Factor Method
Now, list down the factors of 7851
:1,3,2617,7851
Now, list down the factors of 2439
:1,3,9,271,813,2439
Greatest Common Factor
We found the factors 7851,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 7851,2439 is 3.
Lets's calculate LCM of 405,8421
| 3 | 405, 8421 |
| 135, 2807 |
∴ So the LCM of the given numbers is 3 x 135 x 2807 = 1136835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1136835
Therefore, the GCF of Fractions 7851/405,2439/8421 is 3/1136835
Least Common Multiple of 405,8421 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 405,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,8421) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,8421) x common factors =3 x 1 = 3
LCM(405,8421) = ( 405 × 8421 ) / 3
LCM(405,8421) = 3410505 / 3
LCM(405,8421) = 1136835
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FAQs on GCF of Fractions of 7851/405, 2439/8421
1. What is the HCF of 7851,2439?
The HCF of 7851,2439 is 3
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 7851/405, 2439/8421?
Answer: GCF of Numerators as per given numbers 7851/405, 2439/8421 is
GCF of Numerators i.e. for 7851,2439 is 3
LCM of denominators i.e. for 405,8421 is 1136835.
Thus, GCF of Fractions is 3/1136835.Finally, GCF of Fractions for 7851/405, 2439/8421 is 3/1136835.