GCF of 4050/409, 6854/1385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4050/409, 6854/1385 i.e 2/566465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4050/409, 6854/1385.
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 4050/409,6854/1385?
Given fractions are 4050/409,6854/1385
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 4050/409,6854/1385, numerators are 4050,6854
Denominators are 409,1385
The GCF of 4050,6854 is 2 .
LCM of 409,1385 is 566465.
The greatest common factor of 4050/409,6854/1385 = [GCF of 4050,6854]/[LCM of 409,1385]= 2/566465
Therefore, the GCF of 4050/409,6854/1385 is 2/566465.
To find the highest common factor of 4050,6854, we have to find the factors of both numbers and list the highest common factor.
The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050
The factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854
The HCF of 4050,6854 is 2.
Lets's calculate GCF of 4050,6854
| 2 | 4050, 6854 |
| 2025, 3427 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4050,6854 By Matching Biggest Common Factor Method
Now, list down the factors of 4050
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050
Now, list down the factors of 6854
:1,2,23,46,149,298,3427,6854
Greatest Common Factor
We found the factors 4050,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 4050,6854 is 2.
Lets's calculate LCM of 409,1385
Given numbers has no common factors except 1. So, there LCM is their product i.e 566465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/566465
Therefore, the GCF of Fractions 4050/409,6854/1385 is 2/566465
Least Common Multiple of 409,1385 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 409,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,1385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,1385) x common factors =1 x 1 = 1
LCM(409,1385) = ( 409 × 1385 ) / 1
LCM(409,1385) = 566465 / 1
LCM(409,1385) = 566465
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FAQs on GCF of Fractions of 4050/409, 6854/1385
1. What is the HCF of 4050,6854?
The HCF of 4050,6854 is 2
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 4050/409, 6854/1385?
Answer: GCF of Numerators as per given numbers 4050/409, 6854/1385 is
GCF of Numerators i.e. for 4050,6854 is 2
LCM of denominators i.e. for 409,1385 is 566465.
Thus, GCF of Fractions is 2/566465.Finally, GCF of Fractions for 4050/409, 6854/1385 is 2/566465.