GCF of 23/504, 87/569, 110/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/504, 87/569, 110/605 i.e 1/173499480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/504, 87/569, 110/605.
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 23/504,87/569,110/605?
Given fractions are 23/504,87/569,110/605
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 23/504,87/569,110/605, numerators are 23,87,110
Denominators are 504,569,605
The GCF of 23,87,110 is 1 .
LCM of 504,569,605 is 173499480.
The greatest common factor of 23/504,87/569,110/605 = [GCF of 23,87,110]/[LCM of 504,569,605]= 1/173499480
Therefore, the GCF of 23/504,87/569,110/605 is 1/173499480.
To find the highest common factor of 23,87,110, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 87 are 1, 3, 29, 87
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The HCF of 23,87,110 is 1.
Lets's calculate GCF of 23,87,110
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,87,110 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 23,87,110 . The biggest common factor number is the GCF number.
So the greatest common factor 23,87,110 is 1.
Lets's calculate LCM of 504,569,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 173499480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173499480
Therefore, the GCF of Fractions 23/504,87/569,110/605 is 1/173499480
Least Common Multiple of 504,569,605 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 504,569,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,569,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,569,605) x common factors =1 x 1 = 1
LCM(504,569,605) = ( 504 × 569 × 605 ) / 1
LCM(504,569,605) = 173499480 / 1
LCM(504,569,605) = 173499480
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FAQs on GCF of Fractions of 23/504, 87/569, 110/605
1. What is the HCF of 23,87,110?
The HCF of 23,87,110 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 23/504, 87/569, 110/605?
Answer: GCF of Numerators as per given numbers 23/504, 87/569, 110/605 is
GCF of Numerators i.e. for 23,87,110 is 1
LCM of denominators i.e. for 504,569,605 is 173499480.
Thus, GCF of Fractions is 1/173499480.Finally, GCF of Fractions for 23/504, 87/569, 110/605 is 1/173499480.