GCF of 2799/489, 2787/8402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2799/489, 2787/8402 i.e 3/4108578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2799/489, 2787/8402.
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 2799/489,2787/8402?
Given fractions are 2799/489,2787/8402
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 2799/489,2787/8402, numerators are 2799,2787
Denominators are 489,8402
The GCF of 2799,2787 is 3 .
LCM of 489,8402 is 4108578.
The greatest common factor of 2799/489,2787/8402 = [GCF of 2799,2787]/[LCM of 489,8402]= 3/4108578
Therefore, the GCF of 2799/489,2787/8402 is 3/4108578.
To find the highest common factor of 2799,2787, we have to find the factors of both numbers and list the highest common factor.
The factors of 2799 are 1, 3, 9, 311, 933, 2799
The factors of 2787 are 1, 3, 929, 2787
The HCF of 2799,2787 is 3.
Lets's calculate GCF of 2799,2787
| 3 | 2799, 2787 |
| 933, 929 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2799,2787 By Matching Biggest Common Factor Method
Now, list down the factors of 2799
:1,3,9,311,933,2799
Now, list down the factors of 2787
:1,3,929,2787
Greatest Common Factor
We found the factors 2799,2787 . The biggest common factor number is the GCF number.
So the greatest common factor 2799,2787 is 3.
Lets's calculate LCM of 489,8402
Given numbers has no common factors except 1. So, there LCM is their product i.e 4108578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4108578
Therefore, the GCF of Fractions 2799/489,2787/8402 is 3/4108578
Least Common Multiple of 489,8402 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 489,8402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8402) x common factors =1 x 1 = 1
LCM(489,8402) = ( 489 × 8402 ) / 1
LCM(489,8402) = 4108578 / 1
LCM(489,8402) = 4108578
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FAQs on GCF of Fractions of 2799/489, 2787/8402
1. What is the HCF of 2799,2787?
The HCF of 2799,2787 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 2799/489, 2787/8402?
Answer: GCF of Numerators as per given numbers 2799/489, 2787/8402 is
GCF of Numerators i.e. for 2799,2787 is 3
LCM of denominators i.e. for 489,8402 is 4108578.
Thus, GCF of Fractions is 3/4108578.Finally, GCF of Fractions for 2799/489, 2787/8402 is 3/4108578.