GCF of 4569/171, 9977/4165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4569/171, 9977/4165 i.e 1/712215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4569/171, 9977/4165.
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 4569/171,9977/4165?
Given fractions are 4569/171,9977/4165
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 4569/171,9977/4165, numerators are 4569,9977
Denominators are 171,4165
The GCF of 4569,9977 is 1 .
LCM of 171,4165 is 712215.
The greatest common factor of 4569/171,9977/4165 = [GCF of 4569,9977]/[LCM of 171,4165]= 1/712215
Therefore, the GCF of 4569/171,9977/4165 is 1/712215.
To find the highest common factor of 4569,9977, we have to find the factors of both numbers and list the highest common factor.
The factors of 4569 are 1, 3, 1523, 4569
The factors of 9977 are 1, 11, 907, 9977
The HCF of 4569,9977 is 1.
Lets's calculate GCF of 4569,9977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4569,9977 By Matching Biggest Common Factor Method
Now, list down the factors of 4569
:1,3,1523,4569
Now, list down the factors of 9977
:1,11,907,9977
Greatest Common Factor
We found the factors 4569,9977 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,9977 is 1.
Lets's calculate LCM of 171,4165
Given numbers has no common factors except 1. So, there LCM is their product i.e 712215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712215
Therefore, the GCF of Fractions 4569/171,9977/4165 is 1/712215
Least Common Multiple of 171,4165 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 171,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,4165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,4165) x common factors =1 x 1 = 1
LCM(171,4165) = ( 171 × 4165 ) / 1
LCM(171,4165) = 712215 / 1
LCM(171,4165) = 712215
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FAQs on GCF of Fractions of 4569/171, 9977/4165
1. What is the HCF of 4569,9977?
The HCF of 4569,9977 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 4569/171, 9977/4165?
Answer: GCF of Numerators as per given numbers 4569/171, 9977/4165 is
GCF of Numerators i.e. for 4569,9977 is 1
LCM of denominators i.e. for 171,4165 is 712215.
Thus, GCF of Fractions is 1/712215.Finally, GCF of Fractions for 4569/171, 9977/4165 is 1/712215.