GCF of 1812/292, 9648/1520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1812/292, 9648/1520 i.e 12/110960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1812/292, 9648/1520.
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 1812/292,9648/1520?
Given fractions are 1812/292,9648/1520
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 1812/292,9648/1520, numerators are 1812,9648
Denominators are 292,1520
The GCF of 1812,9648 is 12 .
LCM of 292,1520 is 110960.
The greatest common factor of 1812/292,9648/1520 = [GCF of 1812,9648]/[LCM of 292,1520]= 12/110960
Therefore, the GCF of 1812/292,9648/1520 is 12/110960.
To find the highest common factor of 1812,9648, we have to find the factors of both numbers and list the highest common factor.
The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 1812,9648 is 12.
Lets's calculate GCF of 1812,9648
| 2 | 1812, 9648 |
| 2 | 906, 4824 |
| 3 | 453, 2412 |
| 151, 804 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1812,9648 By Matching Biggest Common Factor Method
Now, list down the factors of 1812
:1,2,3,4,6,12,151,302,453,604,906,1812
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 1812,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,9648 is 12.
Lets's calculate LCM of 292,1520
| 2 | 292, 1520 |
| 2 | 146, 760 |
| 73, 380 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 380 = 110960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/110960
Therefore, the GCF of Fractions 1812/292,9648/1520 is 12/110960
Least Common Multiple of 292,1520 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 292,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,1520) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(292,1520) x common factors =4 x 1 = 4
LCM(292,1520) = ( 292 × 1520 ) / 4
LCM(292,1520) = 443840 / 4
LCM(292,1520) = 110960
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FAQs on GCF of Fractions of 1812/292, 9648/1520
1. What is the HCF of 1812,9648?
The HCF of 1812,9648 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 1812/292, 9648/1520?
Answer: GCF of Numerators as per given numbers 1812/292, 9648/1520 is
GCF of Numerators i.e. for 1812,9648 is 12
LCM of denominators i.e. for 292,1520 is 110960.
Thus, GCF of Fractions is 12/110960.Finally, GCF of Fractions for 1812/292, 9648/1520 is 12/110960.