The GCF is 3.
675
The LCM of 135 and 225 is 675.
675 = 1*675, 3*225, 5*135, 9*75, 15*45, 25*27
The lowest common multiple of these 3 numbers (besides from 1) is 5.
225
The LCM is: 675
3 is the only number that goes into 3 and all of the others evenly.
The greatest common factor (GCF) is: 45
To find the greatest square factor of 675, we need to break down 675 into its prime factors: 3 x 3 x 3 x 5 x 5. To identify the square factors, we look for pairs of the same prime factors. In this case, we have two 3's and two 5's. Multiplying these pairs together gives us the greatest square factor of 675, which is 3 x 3 x 5 x 5 = 225.
The GCF is 75.
To find a common denominator for 25, 27, and 45, we need to determine the least common multiple (LCM) of these numbers. The prime factorization of 25 is 5^2, 27 is 3^3, and 45 is 3^2 * 5. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 3^3 * 5^2 = 225. Therefore, 225 is the common denominator for 25, 27, and 45.
675 ÷ 3 = 225