GCF of 3794/674, 9176/1066
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3794/674, 9176/1066 i.e 2/359242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3794/674, 9176/1066.
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 3794/674,9176/1066?
Given fractions are 3794/674,9176/1066
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 3794/674,9176/1066, numerators are 3794,9176
Denominators are 674,1066
The GCF of 3794,9176 is 2 .
LCM of 674,1066 is 359242.
The greatest common factor of 3794/674,9176/1066 = [GCF of 3794,9176]/[LCM of 674,1066]= 2/359242
Therefore, the GCF of 3794/674,9176/1066 is 2/359242.
To find the highest common factor of 3794,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 3794,9176 is 2.
Lets's calculate GCF of 3794,9176
| 2 | 3794, 9176 |
| 1897, 4588 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3794,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 3794
:1,2,7,14,271,542,1897,3794
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 3794,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 3794,9176 is 2.
Lets's calculate LCM of 674,1066
| 2 | 674, 1066 |
| 337, 533 |
∴ So the LCM of the given numbers is 2 x 337 x 533 = 359242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359242
Therefore, the GCF of Fractions 3794/674,9176/1066 is 2/359242
Least Common Multiple of 674,1066 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 674,1066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,1066) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,1066) x common factors =2 x 1 = 2
LCM(674,1066) = ( 674 × 1066 ) / 2
LCM(674,1066) = 718484 / 2
LCM(674,1066) = 359242
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3794/674, 9176/1066
1. What is the HCF of 3794,9176?
The HCF of 3794,9176 is 2
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 3794/674, 9176/1066?
Answer: GCF of Numerators as per given numbers 3794/674, 9176/1066 is
GCF of Numerators i.e. for 3794,9176 is 2
LCM of denominators i.e. for 674,1066 is 359242.
Thus, GCF of Fractions is 2/359242.Finally, GCF of Fractions for 3794/674, 9176/1066 is 2/359242.