GCF of 333/93, 737/53, 128/34
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 333/93, 737/53, 128/34 i.e 1/167586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/93, 737/53, 128/34.
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 333/93,737/53,128/34?
Given fractions are 333/93,737/53,128/34
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 333/93,737/53,128/34, numerators are 333,737,128
Denominators are 93,53,34
The GCF of 333,737,128 is 1 .
LCM of 93,53,34 is 167586.
The greatest common factor of 333/93,737/53,128/34 = [GCF of 333,737,128]/[LCM of 93,53,34]= 1/167586
Therefore, the GCF of 333/93,737/53,128/34 is 1/167586.
To find the highest common factor of 333,737,128, we have to find the factors of both numbers and list the highest common factor.
The factors of 333 are 1, 3, 9, 37, 111, 333
The factors of 737 are 1, 11, 67, 737
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The HCF of 333,737,128 is 1.
Lets's calculate GCF of 333,737,128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 333,737,128 By Matching Biggest Common Factor Method
Now, list down the factors of 333
:1,3,9,37,111,333
Now, list down the factors of 737
:1,11,67,737
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 333,737,128 . The biggest common factor number is the GCF number.
So the greatest common factor 333,737,128 is 1.
Lets's calculate LCM of 93,53,34
Given numbers has no common factors except 1. So, there LCM is their product i.e 167586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167586
Therefore, the GCF of Fractions 333/93,737/53,128/34 is 1/167586
Least Common Multiple of 93,53,34 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 93,53,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,53,34) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,53,34) x common factors =1 x 1 = 1
LCM(93,53,34) = ( 93 × 53 × 34 ) / 1
LCM(93,53,34) = 167586 / 1
LCM(93,53,34) = 167586
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 333/93, 737/53, 128/34
1. What is the HCF of 333,737,128?
The HCF of 333,737,128 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 333/93, 737/53, 128/34?
Answer: GCF of Numerators as per given numbers 333/93, 737/53, 128/34 is
GCF of Numerators i.e. for 333,737,128 is 1
LCM of denominators i.e. for 93,53,34 is 167586.
Thus, GCF of Fractions is 1/167586.Finally, GCF of Fractions for 333/93, 737/53, 128/34 is 1/167586.