Well, let's think of the Highest Common Factor (HCF) like a happy little friend that helps us find the biggest number that can divide evenly into all three numbers. If we look at 54, 81, and 108, we can see that the HCF is 27 because it is the largest number that can divide evenly into all three numbers. Just like painting a beautiful landscape, finding the HCF is all about looking for the common elements that bring everything together harmoniously.
hcf(18, 54, 81) = 9. Using prime factorization: 18 = 2 x 3^2 54 = 2 x 3^3 81 = 3^4 hcf = 3^2 = 9
27, 54, 81, 108, 135
27, 54, 81, 108, 135
To find the highest common factor (HCF) of 108 and 270, we can follow these steps: **Find the prime factorization of each number:** 108 = 2² × 3³ 270 = 2 × 3³ × 5 **Identify the common prime factors:** Both 108 and 270 have the factors 2 and 3³. **Take the lowest power of each common prime factor:** For 2, the lowest power is 2¹ (since 108 has 2² and 270 has 2¹). For 3, the lowest power is 3³ (since both have 3³). **Multiply these together:** HCF = 2¹ × 3³ = 2 × 27 = 54 So, the highest common factor of 108 and 270 is **54**.
27, 54, 81, 108, 135, 162
To find the highest common factor (HCF) of 108 and 270, we can follow these steps: **Find the prime factorization of each number:** 108 = 2² × 3³ 270 = 2 × 3³ × 5 **Identify the common prime factors:** Both 108 and 270 have the factors 2 and 3³. **Take the lowest power of each common prime factor:** For 2, the lowest power is 2¹ (since 108 has 2² and 270 has 2¹). For 3, the lowest power is 3³ (since both have 3³). **Multiply these together:** HCF = 2¹ × 3³ = 2 × 27 = 54 So, the highest common factor of 108 and 270 is **54**.
hcf(18, 54, 81) = 9. Using prime factorization: 18 = 2 x 3^2 54 = 2 x 3^3 81 = 3^4 hcf = 3^2 = 9
The HCF is: 27
The GCF is 27.
The Least Common Multiple (LCM) of 27 and 36 is the smallest multiple that both numbers share. To find the LCM, you can first determine the prime factorization of each number. The prime factorization of 27 is 3 x 3 x 3 and the prime factorization of 36 is 2 x 2 x 3 x 3. To find the LCM, you take the highest power of each prime factor that appears in either number, which gives you 2 x 2 x 3 x 3 x 3 = 108. Therefore, the LCM of 27 and 36 is 108.
some are 27, 54, 81, 108, and 135....
27 54 81 108
27, 54, 81, 108 & 135
The GCF is 27.
27, 54, 81, 108, 135
27, 54, 81, 108, 135
27 and 81