GCF of 7433/243, 7006/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7433/243, 7006/128 i.e 1/31104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7433/243, 7006/128.
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 7433/243,7006/128?
Given fractions are 7433/243,7006/128
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 7433/243,7006/128, numerators are 7433,7006
Denominators are 243,128
The GCF of 7433,7006 is 1 .
LCM of 243,128 is 31104.
The greatest common factor of 7433/243,7006/128 = [GCF of 7433,7006]/[LCM of 243,128]= 1/31104
Therefore, the GCF of 7433/243,7006/128 is 1/31104.
To find the highest common factor of 7433,7006, we have to find the factors of both numbers and list the highest common factor.
The factors of 7433 are 1, 7433
The factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006
The HCF of 7433,7006 is 1.
Lets's calculate GCF of 7433,7006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7433,7006 By Matching Biggest Common Factor Method
Now, list down the factors of 7433
:1,7433
Now, list down the factors of 7006
:1,2,31,62,113,226,3503,7006
Greatest Common Factor
We found the factors 7433,7006 . The biggest common factor number is the GCF number.
So the greatest common factor 7433,7006 is 1.
Lets's calculate LCM of 243,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 31104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31104
Therefore, the GCF of Fractions 7433/243,7006/128 is 1/31104
Least Common Multiple of 243,128 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 243,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,128) x common factors =1 x 1 = 1
LCM(243,128) = ( 243 × 128 ) / 1
LCM(243,128) = 31104 / 1
LCM(243,128) = 31104
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7433/243, 7006/128
1. What is the HCF of 7433,7006?
The HCF of 7433,7006 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 7433/243, 7006/128?
Answer: GCF of Numerators as per given numbers 7433/243, 7006/128 is
GCF of Numerators i.e. for 7433,7006 is 1
LCM of denominators i.e. for 243,128 is 31104.
Thus, GCF of Fractions is 1/31104.Finally, GCF of Fractions for 7433/243, 7006/128 is 1/31104.