GCF of 4023/718, 1755/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4023/718, 1755/315 i.e 27/226170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4023/718, 1755/315.
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 4023/718,1755/315?
Given fractions are 4023/718,1755/315
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 4023/718,1755/315, numerators are 4023,1755
Denominators are 718,315
The GCF of 4023,1755 is 27 .
LCM of 718,315 is 226170.
The greatest common factor of 4023/718,1755/315 = [GCF of 4023,1755]/[LCM of 718,315]= 27/226170
Therefore, the GCF of 4023/718,1755/315 is 27/226170.
To find the highest common factor of 4023,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 4023,1755 is 27.
Lets's calculate GCF of 4023,1755
| 3 | 4023, 1755 |
| 3 | 1341, 585 |
| 3 | 447, 195 |
| 149, 65 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4023,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 4023
:1,3,9,27,149,447,1341,4023
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 4023,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,1755 is 27.
Lets's calculate LCM of 718,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 226170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/226170
Therefore, the GCF of Fractions 4023/718,1755/315 is 27/226170
Least Common Multiple of 718,315 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 718,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,315) x common factors =1 x 1 = 1
LCM(718,315) = ( 718 × 315 ) / 1
LCM(718,315) = 226170 / 1
LCM(718,315) = 226170
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FAQs on GCF of Fractions of 4023/718, 1755/315
1. What is the HCF of 4023,1755?
The HCF of 4023,1755 is 27
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 4023/718, 1755/315?
Answer: GCF of Numerators as per given numbers 4023/718, 1755/315 is
GCF of Numerators i.e. for 4023,1755 is 27
LCM of denominators i.e. for 718,315 is 226170.
Thus, GCF of Fractions is 27/226170.Finally, GCF of Fractions for 4023/718, 1755/315 is 27/226170.