GCF of 3697/514, 2094/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3697/514, 2094/623 i.e 1/320222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3697/514, 2094/623.
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 3697/514,2094/623?
Given fractions are 3697/514,2094/623
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 3697/514,2094/623, numerators are 3697,2094
Denominators are 514,623
The GCF of 3697,2094 is 1 .
LCM of 514,623 is 320222.
The greatest common factor of 3697/514,2094/623 = [GCF of 3697,2094]/[LCM of 514,623]= 1/320222
Therefore, the GCF of 3697/514,2094/623 is 1/320222.
To find the highest common factor of 3697,2094, we have to find the factors of both numbers and list the highest common factor.
The factors of 3697 are 1, 3697
The factors of 2094 are 1, 2, 3, 6, 349, 698, 1047, 2094
The HCF of 3697,2094 is 1.
Lets's calculate GCF of 3697,2094
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3697,2094 By Matching Biggest Common Factor Method
Now, list down the factors of 3697
:1,3697
Now, list down the factors of 2094
:1,2,3,6,349,698,1047,2094
Greatest Common Factor
We found the factors 3697,2094 . The biggest common factor number is the GCF number.
So the greatest common factor 3697,2094 is 1.
Lets's calculate LCM of 514,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 320222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320222
Therefore, the GCF of Fractions 3697/514,2094/623 is 1/320222
Least Common Multiple of 514,623 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 514,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,623) x common factors =1 x 1 = 1
LCM(514,623) = ( 514 × 623 ) / 1
LCM(514,623) = 320222 / 1
LCM(514,623) = 320222
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3697/514, 2094/623
1. What is the HCF of 3697,2094?
The HCF of 3697,2094 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 3697/514, 2094/623?
Answer: GCF of Numerators as per given numbers 3697/514, 2094/623 is
GCF of Numerators i.e. for 3697,2094 is 1
LCM of denominators i.e. for 514,623 is 320222.
Thus, GCF of Fractions is 1/320222.Finally, GCF of Fractions for 3697/514, 2094/623 is 1/320222.