GCF of 477/623, 8567/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 477/623, 8567/992 i.e 1/618016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/623, 8567/992.
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 477/623,8567/992?
Given fractions are 477/623,8567/992
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 477/623,8567/992, numerators are 477,8567
Denominators are 623,992
The GCF of 477,8567 is 1 .
LCM of 623,992 is 618016.
The greatest common factor of 477/623,8567/992 = [GCF of 477,8567]/[LCM of 623,992]= 1/618016
Therefore, the GCF of 477/623,8567/992 is 1/618016.
To find the highest common factor of 477,8567, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 8567 are 1, 13, 659, 8567
The HCF of 477,8567 is 1.
Lets's calculate GCF of 477,8567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 477,8567 By Matching Biggest Common Factor Method
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 8567
:1,13,659,8567
Greatest Common Factor
We found the factors 477,8567 . The biggest common factor number is the GCF number.
So the greatest common factor 477,8567 is 1.
Lets's calculate LCM of 623,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 618016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618016
Therefore, the GCF of Fractions 477/623,8567/992 is 1/618016
Least Common Multiple of 623,992 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 623,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,992) x common factors =1 x 1 = 1
LCM(623,992) = ( 623 × 992 ) / 1
LCM(623,992) = 618016 / 1
LCM(623,992) = 618016
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 477/623, 8567/992
1. What is the HCF of 477,8567?
The HCF of 477,8567 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 477/623, 8567/992?
Answer: GCF of Numerators as per given numbers 477/623, 8567/992 is
GCF of Numerators i.e. for 477,8567 is 1
LCM of denominators i.e. for 623,992 is 618016.
Thus, GCF of Fractions is 1/618016.Finally, GCF of Fractions for 477/623, 8567/992 is 1/618016.