GCF of 2266/189, 3708/9593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2266/189, 3708/9593 i.e 206/1813077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2266/189, 3708/9593.
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 2266/189,3708/9593?
Given fractions are 2266/189,3708/9593
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 2266/189,3708/9593, numerators are 2266,3708
Denominators are 189,9593
The GCF of 2266,3708 is 206 .
LCM of 189,9593 is 1813077.
The greatest common factor of 2266/189,3708/9593 = [GCF of 2266,3708]/[LCM of 189,9593]= 206/1813077
Therefore, the GCF of 2266/189,3708/9593 is 206/1813077.
To find the highest common factor of 2266,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 2266 are 1, 2, 11, 22, 103, 206, 1133, 2266
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 2266,3708 is 206.
Lets's calculate GCF of 2266,3708
| 2 | 2266, 3708 |
| 103 | 1133, 1854 |
| 11, 18 |
∴ So the GCF of the given numbers is 2 x 103 = 206
Greatest Common Factor of 2266,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 2266
:1,2,11,22,103,206,1133,2266
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 2266,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 2266,3708 is 206.
Lets's calculate LCM of 189,9593
Given numbers has no common factors except 1. So, there LCM is their product i.e 1813077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 206/1813077
Therefore, the GCF of Fractions 2266/189,3708/9593 is 206/1813077
Least Common Multiple of 189,9593 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 189,9593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,9593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,9593) x common factors =1 x 1 = 1
LCM(189,9593) = ( 189 × 9593 ) / 1
LCM(189,9593) = 1813077 / 1
LCM(189,9593) = 1813077
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FAQs on GCF of Fractions of 2266/189, 3708/9593
1. What is the HCF of 2266,3708?
The HCF of 2266,3708 is 206
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 2266/189, 3708/9593?
Answer: GCF of Numerators as per given numbers 2266/189, 3708/9593 is
GCF of Numerators i.e. for 2266,3708 is 206
LCM of denominators i.e. for 189,9593 is 1813077.
Thus, GCF of Fractions is 206/1813077.Finally, GCF of Fractions for 2266/189, 3708/9593 is 206/1813077.