GCF of 2850/578, 4659/8206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2850/578, 4659/8206 i.e 3/2371534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2850/578, 4659/8206.
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 2850/578,4659/8206?
Given fractions are 2850/578,4659/8206
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 2850/578,4659/8206, numerators are 2850,4659
Denominators are 578,8206
The GCF of 2850,4659 is 3 .
LCM of 578,8206 is 2371534.
The greatest common factor of 2850/578,4659/8206 = [GCF of 2850,4659]/[LCM of 578,8206]= 3/2371534
Therefore, the GCF of 2850/578,4659/8206 is 3/2371534.
To find the highest common factor of 2850,4659, we have to find the factors of both numbers and list the highest common factor.
The factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850
The factors of 4659 are 1, 3, 1553, 4659
The HCF of 2850,4659 is 3.
Lets's calculate GCF of 2850,4659
| 3 | 2850, 4659 |
| 950, 1553 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2850,4659 By Matching Biggest Common Factor Method
Now, list down the factors of 2850
:1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850
Now, list down the factors of 4659
:1,3,1553,4659
Greatest Common Factor
We found the factors 2850,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,4659 is 3.
Lets's calculate LCM of 578,8206
| 2 | 578, 8206 |
| 289, 4103 |
∴ So the LCM of the given numbers is 2 x 289 x 4103 = 2371534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2371534
Therefore, the GCF of Fractions 2850/578,4659/8206 is 3/2371534
Least Common Multiple of 578,8206 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 578,8206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,8206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,8206) x common factors =2 x 1 = 2
LCM(578,8206) = ( 578 × 8206 ) / 2
LCM(578,8206) = 4743068 / 2
LCM(578,8206) = 2371534
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FAQs on GCF of Fractions of 2850/578, 4659/8206
1. What is the HCF of 2850,4659?
The HCF of 2850,4659 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 2850/578, 4659/8206?
Answer: GCF of Numerators as per given numbers 2850/578, 4659/8206 is
GCF of Numerators i.e. for 2850,4659 is 3
LCM of denominators i.e. for 578,8206 is 2371534.
Thus, GCF of Fractions is 3/2371534.Finally, GCF of Fractions for 2850/578, 4659/8206 is 3/2371534.