GCF of 3154/204, 2828/5754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3154/204, 2828/5754 i.e 2/195636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3154/204, 2828/5754.
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 3154/204,2828/5754?
Given fractions are 3154/204,2828/5754
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 3154/204,2828/5754, numerators are 3154,2828
Denominators are 204,5754
The GCF of 3154,2828 is 2 .
LCM of 204,5754 is 195636.
The greatest common factor of 3154/204,2828/5754 = [GCF of 3154,2828]/[LCM of 204,5754]= 2/195636
Therefore, the GCF of 3154/204,2828/5754 is 2/195636.
To find the highest common factor of 3154,2828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The HCF of 3154,2828 is 2.
Lets's calculate GCF of 3154,2828
| 2 | 3154, 2828 |
| 1577, 1414 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3154,2828 By Matching Biggest Common Factor Method
Now, list down the factors of 3154
:1,2,19,38,83,166,1577,3154
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Greatest Common Factor
We found the factors 3154,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 3154,2828 is 2.
Lets's calculate LCM of 204,5754
| 2 | 204, 5754 |
| 3 | 102, 2877 |
| 34, 959 |
∴ So the LCM of the given numbers is 2 x 3 x 34 x 959 = 195636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195636
Therefore, the GCF of Fractions 3154/204,2828/5754 is 2/195636
Least Common Multiple of 204,5754 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 204,5754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,5754) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(204,5754) x common factors =6 x 1 = 6
LCM(204,5754) = ( 204 × 5754 ) / 6
LCM(204,5754) = 1173816 / 6
LCM(204,5754) = 195636
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FAQs on GCF of Fractions of 3154/204, 2828/5754
1. What is the HCF of 3154,2828?
The HCF of 3154,2828 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 3154/204, 2828/5754?
Answer: GCF of Numerators as per given numbers 3154/204, 2828/5754 is
GCF of Numerators i.e. for 3154,2828 is 2
LCM of denominators i.e. for 204,5754 is 195636.
Thus, GCF of Fractions is 2/195636.Finally, GCF of Fractions for 3154/204, 2828/5754 is 2/195636.