GCF of 1548/892, 2823/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1548/892, 2823/5956 i.e 3/1328188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1548/892, 2823/5956.
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 1548/892,2823/5956?
Given fractions are 1548/892,2823/5956
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 1548/892,2823/5956, numerators are 1548,2823
Denominators are 892,5956
The GCF of 1548,2823 is 3 .
LCM of 892,5956 is 1328188.
The greatest common factor of 1548/892,2823/5956 = [GCF of 1548,2823]/[LCM of 892,5956]= 3/1328188
Therefore, the GCF of 1548/892,2823/5956 is 3/1328188.
To find the highest common factor of 1548,2823, we have to find the factors of both numbers and list the highest common factor.
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The factors of 2823 are 1, 3, 941, 2823
The HCF of 1548,2823 is 3.
Lets's calculate GCF of 1548,2823
| 3 | 1548, 2823 |
| 516, 941 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1548,2823 By Matching Biggest Common Factor Method
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Now, list down the factors of 2823
:1,3,941,2823
Greatest Common Factor
We found the factors 1548,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,2823 is 3.
Lets's calculate LCM of 892,5956
| 2 | 892, 5956 |
| 2 | 446, 2978 |
| 223, 1489 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 1489 = 1328188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1328188
Therefore, the GCF of Fractions 1548/892,2823/5956 is 3/1328188
Least Common Multiple of 892,5956 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 892,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,5956) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,5956) x common factors =4 x 1 = 4
LCM(892,5956) = ( 892 × 5956 ) / 4
LCM(892,5956) = 5312752 / 4
LCM(892,5956) = 1328188
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FAQs on GCF of Fractions of 1548/892, 2823/5956
1. What is the HCF of 1548,2823?
The HCF of 1548,2823 is 3
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 1548/892, 2823/5956?
Answer: GCF of Numerators as per given numbers 1548/892, 2823/5956 is
GCF of Numerators i.e. for 1548,2823 is 3
LCM of denominators i.e. for 892,5956 is 1328188.
Thus, GCF of Fractions is 3/1328188.Finally, GCF of Fractions for 1548/892, 2823/5956 is 3/1328188.