GCF of 3726/842, 1134/8423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3726/842, 1134/8423 i.e 162/7092166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3726/842, 1134/8423.
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 3726/842,1134/8423?
Given fractions are 3726/842,1134/8423
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 3726/842,1134/8423, numerators are 3726,1134
Denominators are 842,8423
The GCF of 3726,1134 is 162 .
LCM of 842,8423 is 7092166.
The greatest common factor of 3726/842,1134/8423 = [GCF of 3726,1134]/[LCM of 842,8423]= 162/7092166
Therefore, the GCF of 3726/842,1134/8423 is 162/7092166.
To find the highest common factor of 3726,1134, we have to find the factors of both numbers and list the highest common factor.
The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134
The HCF of 3726,1134 is 162.
Lets's calculate GCF of 3726,1134
| 2 | 3726, 1134 |
| 3 | 1863, 567 |
| 3 | 621, 189 |
| 3 | 207, 63 |
| 3 | 69, 21 |
| 23, 7 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 3726,1134 By Matching Biggest Common Factor Method
Now, list down the factors of 3726
:1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Now, list down the factors of 1134
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Greatest Common Factor
We found the factors 3726,1134 . The biggest common factor number is the GCF number.
So the greatest common factor 3726,1134 is 162.
Lets's calculate LCM of 842,8423
Given numbers has no common factors except 1. So, there LCM is their product i.e 7092166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/7092166
Therefore, the GCF of Fractions 3726/842,1134/8423 is 162/7092166
Least Common Multiple of 842,8423 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 842,8423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8423) x common factors =1 x 1 = 1
LCM(842,8423) = ( 842 × 8423 ) / 1
LCM(842,8423) = 7092166 / 1
LCM(842,8423) = 7092166
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FAQs on GCF of Fractions of 3726/842, 1134/8423
1. What is the HCF of 3726,1134?
The HCF of 3726,1134 is 162
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 3726/842, 1134/8423?
Answer: GCF of Numerators as per given numbers 3726/842, 1134/8423 is
GCF of Numerators i.e. for 3726,1134 is 162
LCM of denominators i.e. for 842,8423 is 7092166.
Thus, GCF of Fractions is 162/7092166.Finally, GCF of Fractions for 3726/842, 1134/8423 is 162/7092166.