GCF of 411/365, 7000/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 411/365, 7000/415 i.e 1/30295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/365, 7000/415.
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 411/365,7000/415?
Given fractions are 411/365,7000/415
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 411/365,7000/415, numerators are 411,7000
Denominators are 365,415
The GCF of 411,7000 is 1 .
LCM of 365,415 is 30295.
The greatest common factor of 411/365,7000/415 = [GCF of 411,7000]/[LCM of 365,415]= 1/30295
Therefore, the GCF of 411/365,7000/415 is 1/30295.
To find the highest common factor of 411,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 411 are 1, 3, 137, 411
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 411,7000 is 1.
Lets's calculate GCF of 411,7000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 411,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 411,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 411,7000 is 1.
Lets's calculate LCM of 365,415
| 5 | 365, 415 |
| 73, 83 |
∴ So the LCM of the given numbers is 5 x 73 x 83 = 30295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30295
Therefore, the GCF of Fractions 411/365,7000/415 is 1/30295
Least Common Multiple of 365,415 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 365,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,415) x common factors =5 x 1 = 5
LCM(365,415) = ( 365 × 415 ) / 5
LCM(365,415) = 151475 / 5
LCM(365,415) = 30295
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FAQs on GCF of Fractions of 411/365, 7000/415
1. What is the HCF of 411,7000?
The HCF of 411,7000 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 411/365, 7000/415?
Answer: GCF of Numerators as per given numbers 411/365, 7000/415 is
GCF of Numerators i.e. for 411,7000 is 1
LCM of denominators i.e. for 365,415 is 30295.
Thus, GCF of Fractions is 1/30295.Finally, GCF of Fractions for 411/365, 7000/415 is 1/30295.