GCF of 8174/774, 4535/2359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8174/774, 4535/2359 i.e 1/1825866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8174/774, 4535/2359.
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 8174/774,4535/2359?
Given fractions are 8174/774,4535/2359
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 8174/774,4535/2359, numerators are 8174,4535
Denominators are 774,2359
The GCF of 8174,4535 is 1 .
LCM of 774,2359 is 1825866.
The greatest common factor of 8174/774,4535/2359 = [GCF of 8174,4535]/[LCM of 774,2359]= 1/1825866
Therefore, the GCF of 8174/774,4535/2359 is 1/1825866.
To find the highest common factor of 8174,4535, we have to find the factors of both numbers and list the highest common factor.
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The factors of 4535 are 1, 5, 907, 4535
The HCF of 8174,4535 is 1.
Lets's calculate GCF of 8174,4535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8174,4535 By Matching Biggest Common Factor Method
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Now, list down the factors of 4535
:1,5,907,4535
Greatest Common Factor
We found the factors 8174,4535 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,4535 is 1.
Lets's calculate LCM of 774,2359
Given numbers has no common factors except 1. So, there LCM is their product i.e 1825866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1825866
Therefore, the GCF of Fractions 8174/774,4535/2359 is 1/1825866
Least Common Multiple of 774,2359 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 774,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,2359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,2359) x common factors =1 x 1 = 1
LCM(774,2359) = ( 774 × 2359 ) / 1
LCM(774,2359) = 1825866 / 1
LCM(774,2359) = 1825866
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8174/774, 4535/2359
1. What is the HCF of 8174,4535?
The HCF of 8174,4535 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 8174/774, 4535/2359?
Answer: GCF of Numerators as per given numbers 8174/774, 4535/2359 is
GCF of Numerators i.e. for 8174,4535 is 1
LCM of denominators i.e. for 774,2359 is 1825866.
Thus, GCF of Fractions is 1/1825866.Finally, GCF of Fractions for 8174/774, 4535/2359 is 1/1825866.