GCF of 693/40, 206/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/40, 206/249 i.e 1/9960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/40, 206/249.
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 693/40,206/249?
Given fractions are 693/40,206/249
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 693/40,206/249, numerators are 693,206
Denominators are 40,249
The GCF of 693,206 is 1 .
LCM of 40,249 is 9960.
The greatest common factor of 693/40,206/249 = [GCF of 693,206]/[LCM of 40,249]= 1/9960
Therefore, the GCF of 693/40,206/249 is 1/9960.
To find the highest common factor of 693,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 206 are 1, 2, 103, 206
The HCF of 693,206 is 1.
Lets's calculate GCF of 693,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 693,206 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 693,206 . The biggest common factor number is the GCF number.
So the greatest common factor 693,206 is 1.
Lets's calculate LCM of 40,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 9960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9960
Therefore, the GCF of Fractions 693/40,206/249 is 1/9960
Least Common Multiple of 40,249 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 40,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,249) x common factors =1 x 1 = 1
LCM(40,249) = ( 40 × 249 ) / 1
LCM(40,249) = 9960 / 1
LCM(40,249) = 9960
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FAQs on GCF of Fractions of 693/40, 206/249
1. What is the HCF of 693,206?
The HCF of 693,206 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 693/40, 206/249?
Answer: GCF of Numerators as per given numbers 693/40, 206/249 is
GCF of Numerators i.e. for 693,206 is 1
LCM of denominators i.e. for 40,249 is 9960.
Thus, GCF of Fractions is 1/9960.Finally, GCF of Fractions for 693/40, 206/249 is 1/9960.