GCF of 9144/364, 2796/1524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9144/364, 2796/1524 i.e 12/138684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9144/364, 2796/1524.
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 9144/364,2796/1524?
Given fractions are 9144/364,2796/1524
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 9144/364,2796/1524, numerators are 9144,2796
Denominators are 364,1524
The GCF of 9144,2796 is 12 .
LCM of 364,1524 is 138684.
The greatest common factor of 9144/364,2796/1524 = [GCF of 9144,2796]/[LCM of 364,1524]= 12/138684
Therefore, the GCF of 9144/364,2796/1524 is 12/138684.
To find the highest common factor of 9144,2796, we have to find the factors of both numbers and list the highest common factor.
The factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144
The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796
The HCF of 9144,2796 is 12.
Lets's calculate GCF of 9144,2796
| 2 | 9144, 2796 |
| 2 | 4572, 1398 |
| 3 | 2286, 699 |
| 762, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9144,2796 By Matching Biggest Common Factor Method
Now, list down the factors of 9144
:1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Now, list down the factors of 2796
:1,2,3,4,6,12,233,466,699,932,1398,2796
Greatest Common Factor
We found the factors 9144,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,2796 is 12.
Lets's calculate LCM of 364,1524
| 2 | 364, 1524 |
| 2 | 182, 762 |
| 91, 381 |
∴ So the LCM of the given numbers is 2 x 2 x 91 x 381 = 138684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/138684
Therefore, the GCF of Fractions 9144/364,2796/1524 is 12/138684
Least Common Multiple of 364,1524 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 364,1524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,1524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(364,1524) x common factors =4 x 1 = 4
LCM(364,1524) = ( 364 × 1524 ) / 4
LCM(364,1524) = 554736 / 4
LCM(364,1524) = 138684
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FAQs on GCF of Fractions of 9144/364, 2796/1524
1. What is the HCF of 9144,2796?
The HCF of 9144,2796 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 9144/364, 2796/1524?
Answer: GCF of Numerators as per given numbers 9144/364, 2796/1524 is
GCF of Numerators i.e. for 9144,2796 is 12
LCM of denominators i.e. for 364,1524 is 138684.
Thus, GCF of Fractions is 12/138684.Finally, GCF of Fractions for 9144/364, 2796/1524 is 12/138684.