GCF of 6973/201, 8360/1814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6973/201, 8360/1814 i.e 19/364614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6973/201, 8360/1814.
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 6973/201,8360/1814?
Given fractions are 6973/201,8360/1814
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 6973/201,8360/1814, numerators are 6973,8360
Denominators are 201,1814
The GCF of 6973,8360 is 19 .
LCM of 201,1814 is 364614.
The greatest common factor of 6973/201,8360/1814 = [GCF of 6973,8360]/[LCM of 201,1814]= 19/364614
Therefore, the GCF of 6973/201,8360/1814 is 19/364614.
To find the highest common factor of 6973,8360, we have to find the factors of both numbers and list the highest common factor.
The factors of 6973 are 1, 19, 367, 6973
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The HCF of 6973,8360 is 19.
Lets's calculate GCF of 6973,8360
| 19 | 6973, 8360 |
| 367, 440 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 6973,8360 By Matching Biggest Common Factor Method
Now, list down the factors of 6973
:1,19,367,6973
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Greatest Common Factor
We found the factors 6973,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 6973,8360 is 19.
Lets's calculate LCM of 201,1814
Given numbers has no common factors except 1. So, there LCM is their product i.e 364614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/364614
Therefore, the GCF of Fractions 6973/201,8360/1814 is 19/364614
Least Common Multiple of 201,1814 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 201,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,1814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,1814) x common factors =1 x 1 = 1
LCM(201,1814) = ( 201 × 1814 ) / 1
LCM(201,1814) = 364614 / 1
LCM(201,1814) = 364614
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6973/201, 8360/1814
1. What is the HCF of 6973,8360?
The HCF of 6973,8360 is 19
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 6973/201, 8360/1814?
Answer: GCF of Numerators as per given numbers 6973/201, 8360/1814 is
GCF of Numerators i.e. for 6973,8360 is 19
LCM of denominators i.e. for 201,1814 is 364614.
Thus, GCF of Fractions is 19/364614.Finally, GCF of Fractions for 6973/201, 8360/1814 is 19/364614.