GCF of 243/376, 7706/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 243/376, 7706/993 i.e 1/373368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/376, 7706/993.
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 243/376,7706/993?
Given fractions are 243/376,7706/993
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 243/376,7706/993, numerators are 243,7706
Denominators are 376,993
The GCF of 243,7706 is 1 .
LCM of 376,993 is 373368.
The greatest common factor of 243/376,7706/993 = [GCF of 243,7706]/[LCM of 376,993]= 1/373368
Therefore, the GCF of 243/376,7706/993 is 1/373368.
To find the highest common factor of 243,7706, we have to find the factors of both numbers and list the highest common factor.
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 7706 are 1, 2, 3853, 7706
The HCF of 243,7706 is 1.
Lets's calculate GCF of 243,7706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 243,7706 By Matching Biggest Common Factor Method
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 7706
:1,2,3853,7706
Greatest Common Factor
We found the factors 243,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 243,7706 is 1.
Lets's calculate LCM of 376,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 373368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373368
Therefore, the GCF of Fractions 243/376,7706/993 is 1/373368
Least Common Multiple of 376,993 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 376,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,993) x common factors =1 x 1 = 1
LCM(376,993) = ( 376 × 993 ) / 1
LCM(376,993) = 373368 / 1
LCM(376,993) = 373368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 243/376, 7706/993
1. What is the HCF of 243,7706?
The HCF of 243,7706 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 243/376, 7706/993?
Answer: GCF of Numerators as per given numbers 243/376, 7706/993 is
GCF of Numerators i.e. for 243,7706 is 1
LCM of denominators i.e. for 376,993 is 373368.
Thus, GCF of Fractions is 1/373368.Finally, GCF of Fractions for 243/376, 7706/993 is 1/373368.