GCF of 2826/188, 8096/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2826/188, 8096/178 i.e 2/16732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2826/188, 8096/178.
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 2826/188,8096/178?
Given fractions are 2826/188,8096/178
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 2826/188,8096/178, numerators are 2826,8096
Denominators are 188,178
The GCF of 2826,8096 is 2 .
LCM of 188,178 is 16732.
The greatest common factor of 2826/188,8096/178 = [GCF of 2826,8096]/[LCM of 188,178]= 2/16732
Therefore, the GCF of 2826/188,8096/178 is 2/16732.
To find the highest common factor of 2826,8096, we have to find the factors of both numbers and list the highest common factor.
The factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826
The factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096
The HCF of 2826,8096 is 2.
Lets's calculate GCF of 2826,8096
| 2 | 2826, 8096 |
| 1413, 4048 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2826,8096 By Matching Biggest Common Factor Method
Now, list down the factors of 2826
:1,2,3,6,9,18,157,314,471,942,1413,2826
Now, list down the factors of 8096
:1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096
Greatest Common Factor
We found the factors 2826,8096 . The biggest common factor number is the GCF number.
So the greatest common factor 2826,8096 is 2.
Lets's calculate LCM of 188,178
| 2 | 188, 178 |
| 94, 89 |
∴ So the LCM of the given numbers is 2 x 94 x 89 = 16732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16732
Therefore, the GCF of Fractions 2826/188,8096/178 is 2/16732
Least Common Multiple of 188,178 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 188,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,178) x common factors =2 x 1 = 2
LCM(188,178) = ( 188 × 178 ) / 2
LCM(188,178) = 33464 / 2
LCM(188,178) = 16732
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FAQs on GCF of Fractions of 2826/188, 8096/178
1. What is the HCF of 2826,8096?
The HCF of 2826,8096 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 2826/188, 8096/178?
Answer: GCF of Numerators as per given numbers 2826/188, 8096/178 is
GCF of Numerators i.e. for 2826,8096 is 2
LCM of denominators i.e. for 188,178 is 16732.
Thus, GCF of Fractions is 2/16732.Finally, GCF of Fractions for 2826/188, 8096/178 is 2/16732.