GCF of 4092/726, 7583/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4092/726, 7583/794 i.e 1/288222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4092/726, 7583/794.
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 4092/726,7583/794?
Given fractions are 4092/726,7583/794
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 4092/726,7583/794, numerators are 4092,7583
Denominators are 726,794
The GCF of 4092,7583 is 1 .
LCM of 726,794 is 288222.
The greatest common factor of 4092/726,7583/794 = [GCF of 4092,7583]/[LCM of 726,794]= 1/288222
Therefore, the GCF of 4092/726,7583/794 is 1/288222.
To find the highest common factor of 4092,7583, we have to find the factors of both numbers and list the highest common factor.
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The factors of 7583 are 1, 7583
The HCF of 4092,7583 is 1.
Lets's calculate GCF of 4092,7583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4092,7583 By Matching Biggest Common Factor Method
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Now, list down the factors of 7583
:1,7583
Greatest Common Factor
We found the factors 4092,7583 . The biggest common factor number is the GCF number.
So the greatest common factor 4092,7583 is 1.
Lets's calculate LCM of 726,794
| 2 | 726, 794 |
| 363, 397 |
∴ So the LCM of the given numbers is 2 x 363 x 397 = 288222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288222
Therefore, the GCF of Fractions 4092/726,7583/794 is 1/288222
Least Common Multiple of 726,794 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 726,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,794) x common factors =2 x 1 = 2
LCM(726,794) = ( 726 × 794 ) / 2
LCM(726,794) = 576444 / 2
LCM(726,794) = 288222
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FAQs on GCF of Fractions of 4092/726, 7583/794
1. What is the HCF of 4092,7583?
The HCF of 4092,7583 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 4092/726, 7583/794?
Answer: GCF of Numerators as per given numbers 4092/726, 7583/794 is
GCF of Numerators i.e. for 4092,7583 is 1
LCM of denominators i.e. for 726,794 is 288222.
Thus, GCF of Fractions is 1/288222.Finally, GCF of Fractions for 4092/726, 7583/794 is 1/288222.