GCF of 2835/623, 5704/3381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2835/623, 5704/3381 i.e 1/300909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2835/623, 5704/3381.
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 2835/623,5704/3381?
Given fractions are 2835/623,5704/3381
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 2835/623,5704/3381, numerators are 2835,5704
Denominators are 623,3381
The GCF of 2835,5704 is 1 .
LCM of 623,3381 is 300909.
The greatest common factor of 2835/623,5704/3381 = [GCF of 2835,5704]/[LCM of 623,3381]= 1/300909
Therefore, the GCF of 2835/623,5704/3381 is 1/300909.
To find the highest common factor of 2835,5704, we have to find the factors of both numbers and list the highest common factor.
The factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835
The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The HCF of 2835,5704 is 1.
Lets's calculate GCF of 2835,5704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2835,5704 By Matching Biggest Common Factor Method
Now, list down the factors of 2835
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Greatest Common Factor
We found the factors 2835,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 2835,5704 is 1.
Lets's calculate LCM of 623,3381
| 7 | 623, 3381 |
| 89, 483 |
∴ So the LCM of the given numbers is 7 x 89 x 483 = 300909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300909
Therefore, the GCF of Fractions 2835/623,5704/3381 is 1/300909
Least Common Multiple of 623,3381 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 623,3381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,3381) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,3381) x common factors =7 x 1 = 7
LCM(623,3381) = ( 623 × 3381 ) / 7
LCM(623,3381) = 2106363 / 7
LCM(623,3381) = 300909
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FAQs on GCF of Fractions of 2835/623, 5704/3381
1. What is the HCF of 2835,5704?
The HCF of 2835,5704 is 1
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 2835/623, 5704/3381?
Answer: GCF of Numerators as per given numbers 2835/623, 5704/3381 is
GCF of Numerators i.e. for 2835,5704 is 1
LCM of denominators i.e. for 623,3381 is 300909.
Thus, GCF of Fractions is 1/300909.Finally, GCF of Fractions for 2835/623, 5704/3381 is 1/300909.