GCF of 733/872, 667/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 733/872, 667/394 i.e 1/171784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/872, 667/394.
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 733/872,667/394?
Given fractions are 733/872,667/394
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 733/872,667/394, numerators are 733,667
Denominators are 872,394
The GCF of 733,667 is 1 .
LCM of 872,394 is 171784.
The greatest common factor of 733/872,667/394 = [GCF of 733,667]/[LCM of 872,394]= 1/171784
Therefore, the GCF of 733/872,667/394 is 1/171784.
To find the highest common factor of 733,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 733 are 1, 733
The factors of 667 are 1, 23, 29, 667
The HCF of 733,667 is 1.
Lets's calculate GCF of 733,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 733,667 By Matching Biggest Common Factor Method
Now, list down the factors of 733
:1,733
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 733,667 . The biggest common factor number is the GCF number.
So the greatest common factor 733,667 is 1.
Lets's calculate LCM of 872,394
| 2 | 872, 394 |
| 436, 197 |
∴ So the LCM of the given numbers is 2 x 436 x 197 = 171784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171784
Therefore, the GCF of Fractions 733/872,667/394 is 1/171784
Least Common Multiple of 872,394 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 872,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,394) x common factors =2 x 1 = 2
LCM(872,394) = ( 872 × 394 ) / 2
LCM(872,394) = 343568 / 2
LCM(872,394) = 171784
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FAQs on GCF of Fractions of 733/872, 667/394
1. What is the HCF of 733,667?
The HCF of 733,667 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 733/872, 667/394?
Answer: GCF of Numerators as per given numbers 733/872, 667/394 is
GCF of Numerators i.e. for 733,667 is 1
LCM of denominators i.e. for 872,394 is 171784.
Thus, GCF of Fractions is 1/171784.Finally, GCF of Fractions for 733/872, 667/394 is 1/171784.