GCF of 96/64, 192/69, 667/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/64, 192/69, 667/437 i.e 1/83904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/64, 192/69, 667/437.
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 96/64,192/69,667/437?
Given fractions are 96/64,192/69,667/437
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 96/64,192/69,667/437, numerators are 96,192,667
Denominators are 64,69,437
The GCF of 96,192,667 is 1 .
LCM of 64,69,437 is 83904.
The greatest common factor of 96/64,192/69,667/437 = [GCF of 96,192,667]/[LCM of 64,69,437]= 1/83904
Therefore, the GCF of 96/64,192/69,667/437 is 1/83904.
To find the highest common factor of 96,192,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 667 are 1, 23, 29, 667
The HCF of 96,192,667 is 1.
Lets's calculate GCF of 96,192,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,192,667 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 96,192,667 . The biggest common factor number is the GCF number.
So the greatest common factor 96,192,667 is 1.
Lets's calculate LCM of 64,69,437
| 23 | 64, 69, 437 |
| 64, 3, 19 |
∴ So the LCM of the given numbers is 23 x 64 x 3 x 19 = 83904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83904
Therefore, the GCF of Fractions 96/64,192/69,667/437 is 1/83904
Least Common Multiple of 64,69,437 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 64,69,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,69,437) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(64,69,437) x common factors =1 x 23 = 23
LCM(64,69,437) = ( 64 × 69 × 437 ) / 23
LCM(64,69,437) = 1929792 / 23
LCM(64,69,437) = 83904
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FAQs on GCF of Fractions of 96/64, 192/69, 667/437
1. What is the HCF of 96,192,667?
The HCF of 96,192,667 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 96/64, 192/69, 667/437?
Answer: GCF of Numerators as per given numbers 96/64, 192/69, 667/437 is
GCF of Numerators i.e. for 96,192,667 is 1
LCM of denominators i.e. for 64,69,437 is 83904.
Thus, GCF of Fractions is 1/83904.Finally, GCF of Fractions for 96/64, 192/69, 667/437 is 1/83904.