GCF of 766/62, 165/8123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/62, 165/8123 i.e 1/503626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/62, 165/8123.
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 766/62,165/8123?
Given fractions are 766/62,165/8123
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 766/62,165/8123, numerators are 766,165
Denominators are 62,8123
The GCF of 766,165 is 1 .
LCM of 62,8123 is 503626.
The greatest common factor of 766/62,165/8123 = [GCF of 766,165]/[LCM of 62,8123]= 1/503626
Therefore, the GCF of 766/62,165/8123 is 1/503626.
To find the highest common factor of 766,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 766,165 is 1.
Lets's calculate GCF of 766,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 766,165 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 766,165 . The biggest common factor number is the GCF number.
So the greatest common factor 766,165 is 1.
Lets's calculate LCM of 62,8123
Given numbers has no common factors except 1. So, there LCM is their product i.e 503626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503626
Therefore, the GCF of Fractions 766/62,165/8123 is 1/503626
Least Common Multiple of 62,8123 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 62,8123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8123) x common factors =1 x 1 = 1
LCM(62,8123) = ( 62 × 8123 ) / 1
LCM(62,8123) = 503626 / 1
LCM(62,8123) = 503626
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 766/62, 165/8123
1. What is the HCF of 766,165?
The HCF of 766,165 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 766/62, 165/8123?
Answer: GCF of Numerators as per given numbers 766/62, 165/8123 is
GCF of Numerators i.e. for 766,165 is 1
LCM of denominators i.e. for 62,8123 is 503626.
Thus, GCF of Fractions is 1/503626.Finally, GCF of Fractions for 766/62, 165/8123 is 1/503626.