GCF of 3774/194, 8549/1134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3774/194, 8549/1134 i.e 1/109998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3774/194, 8549/1134.
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 3774/194,8549/1134?
Given fractions are 3774/194,8549/1134
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 3774/194,8549/1134, numerators are 3774,8549
Denominators are 194,1134
The GCF of 3774,8549 is 1 .
LCM of 194,1134 is 109998.
The greatest common factor of 3774/194,8549/1134 = [GCF of 3774,8549]/[LCM of 194,1134]= 1/109998
Therefore, the GCF of 3774/194,8549/1134 is 1/109998.
To find the highest common factor of 3774,8549, we have to find the factors of both numbers and list the highest common factor.
The factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774
The factors of 8549 are 1, 83, 103, 8549
The HCF of 3774,8549 is 1.
Lets's calculate GCF of 3774,8549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3774,8549 By Matching Biggest Common Factor Method
Now, list down the factors of 3774
:1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774
Now, list down the factors of 8549
:1,83,103,8549
Greatest Common Factor
We found the factors 3774,8549 . The biggest common factor number is the GCF number.
So the greatest common factor 3774,8549 is 1.
Lets's calculate LCM of 194,1134
| 2 | 194, 1134 |
| 97, 567 |
∴ So the LCM of the given numbers is 2 x 97 x 567 = 109998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109998
Therefore, the GCF of Fractions 3774/194,8549/1134 is 1/109998
Least Common Multiple of 194,1134 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 194,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,1134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,1134) x common factors =2 x 1 = 2
LCM(194,1134) = ( 194 × 1134 ) / 2
LCM(194,1134) = 219996 / 2
LCM(194,1134) = 109998
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FAQs on GCF of Fractions of 3774/194, 8549/1134
1. What is the HCF of 3774,8549?
The HCF of 3774,8549 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 3774/194, 8549/1134?
Answer: GCF of Numerators as per given numbers 3774/194, 8549/1134 is
GCF of Numerators i.e. for 3774,8549 is 1
LCM of denominators i.e. for 194,1134 is 109998.
Thus, GCF of Fractions is 1/109998.Finally, GCF of Fractions for 3774/194, 8549/1134 is 1/109998.