GCF of 2439/354, 6786/2339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2439/354, 6786/2339 i.e 9/828006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2439/354, 6786/2339.
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 2439/354,6786/2339?
Given fractions are 2439/354,6786/2339
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 2439/354,6786/2339, numerators are 2439,6786
Denominators are 354,2339
The GCF of 2439,6786 is 9 .
LCM of 354,2339 is 828006.
The greatest common factor of 2439/354,6786/2339 = [GCF of 2439,6786]/[LCM of 354,2339]= 9/828006
Therefore, the GCF of 2439/354,6786/2339 is 9/828006.
To find the highest common factor of 2439,6786, 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 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
The HCF of 2439,6786 is 9.
Lets's calculate GCF of 2439,6786
| 3 | 2439, 6786 |
| 3 | 813, 2262 |
| 271, 754 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2439,6786 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 6786
:1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Greatest Common Factor
We found the factors 2439,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 2439,6786 is 9.
Lets's calculate LCM of 354,2339
Given numbers has no common factors except 1. So, there LCM is their product i.e 828006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/828006
Therefore, the GCF of Fractions 2439/354,6786/2339 is 9/828006
Least Common Multiple of 354,2339 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 354,2339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2339) x common factors =1 x 1 = 1
LCM(354,2339) = ( 354 × 2339 ) / 1
LCM(354,2339) = 828006 / 1
LCM(354,2339) = 828006
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FAQs on GCF of Fractions of 2439/354, 6786/2339
1. What is the HCF of 2439,6786?
The HCF of 2439,6786 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 2439/354, 6786/2339?
Answer: GCF of Numerators as per given numbers 2439/354, 6786/2339 is
GCF of Numerators i.e. for 2439,6786 is 9
LCM of denominators i.e. for 354,2339 is 828006.
Thus, GCF of Fractions is 9/828006.Finally, GCF of Fractions for 2439/354, 6786/2339 is 9/828006.