GCF of 32/273, 817/457, 475/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/273, 817/457, 475/587 i.e 1/73234707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/273, 817/457, 475/587.
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 32/273,817/457,475/587?
Given fractions are 32/273,817/457,475/587
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 32/273,817/457,475/587, numerators are 32,817,475
Denominators are 273,457,587
The GCF of 32,817,475 is 1 .
LCM of 273,457,587 is 73234707.
The greatest common factor of 32/273,817/457,475/587 = [GCF of 32,817,475]/[LCM of 273,457,587]= 1/73234707
Therefore, the GCF of 32/273,817/457,475/587 is 1/73234707.
To find the highest common factor of 32,817,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 817 are 1, 19, 43, 817
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 32,817,475 is 1.
Lets's calculate GCF of 32,817,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 32,817,475 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 817
:1,19,43,817
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 32,817,475 . The biggest common factor number is the GCF number.
So the greatest common factor 32,817,475 is 1.
Lets's calculate LCM of 273,457,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 73234707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73234707
Therefore, the GCF of Fractions 32/273,817/457,475/587 is 1/73234707
Least Common Multiple of 273,457,587 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 273,457,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,457,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,457,587) x common factors =1 x 1 = 1
LCM(273,457,587) = ( 273 × 457 × 587 ) / 1
LCM(273,457,587) = 73234707 / 1
LCM(273,457,587) = 73234707
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 32/273, 817/457, 475/587
1. What is the HCF of 32,817,475?
The HCF of 32,817,475 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 32/273, 817/457, 475/587?
Answer: GCF of Numerators as per given numbers 32/273, 817/457, 475/587 is
GCF of Numerators i.e. for 32,817,475 is 1
LCM of denominators i.e. for 273,457,587 is 73234707.
Thus, GCF of Fractions is 1/73234707.Finally, GCF of Fractions for 32/273, 817/457, 475/587 is 1/73234707.