GCF of 2268/188, 9696/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2268/188, 9696/271 i.e 12/50948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2268/188, 9696/271.
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 2268/188,9696/271?
Given fractions are 2268/188,9696/271
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 2268/188,9696/271, numerators are 2268,9696
Denominators are 188,271
The GCF of 2268,9696 is 12 .
LCM of 188,271 is 50948.
The greatest common factor of 2268/188,9696/271 = [GCF of 2268,9696]/[LCM of 188,271]= 12/50948
Therefore, the GCF of 2268/188,9696/271 is 12/50948.
To find the highest common factor of 2268,9696, we have to find the factors of both numbers and list the highest common factor.
The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268
The factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696
The HCF of 2268,9696 is 12.
Lets's calculate GCF of 2268,9696
| 2 | 2268, 9696 |
| 2 | 1134, 4848 |
| 3 | 567, 2424 |
| 189, 808 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2268,9696 By Matching Biggest Common Factor Method
Now, list down the factors of 2268
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Now, list down the factors of 9696
:1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696
Greatest Common Factor
We found the factors 2268,9696 . The biggest common factor number is the GCF number.
So the greatest common factor 2268,9696 is 12.
Lets's calculate LCM of 188,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 50948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/50948
Therefore, the GCF of Fractions 2268/188,9696/271 is 12/50948
Least Common Multiple of 188,271 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 188,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,271) x common factors =1 x 1 = 1
LCM(188,271) = ( 188 × 271 ) / 1
LCM(188,271) = 50948 / 1
LCM(188,271) = 50948
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FAQs on GCF of Fractions of 2268/188, 9696/271
1. What is the HCF of 2268,9696?
The HCF of 2268,9696 is 12
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 2268/188, 9696/271?
Answer: GCF of Numerators as per given numbers 2268/188, 9696/271 is
GCF of Numerators i.e. for 2268,9696 is 12
LCM of denominators i.e. for 188,271 is 50948.
Thus, GCF of Fractions is 12/50948.Finally, GCF of Fractions for 2268/188, 9696/271 is 12/50948.