Q: What is the HCF of 3 and 2?

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It is: 18

hcf(324, 512) = 4 324 = 2² x 3⁴ 512 = 2⁹ hcf = 2² = 4

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

18 = 2 * 3 * 370 = 2 * 5 * 7Thus:LCM = 2*3*3*5*7 = 630HCF = 2

12 = 2 x 2 x 3 16 = 2 x 2 x 2 x 2 HCF=2 x 2 = 4 HCF = 4

factors of 8: 1, 2, 4, 8 factors of 18: 1, 2, 3, 6, 9, 18 HCF: 2

99 = 3 * 3 * 11132 = 2 * 2* 3* 11hcf = 3 * 11hcf =33

Prime factors of 36 are: 2^2 and 3^2 Prime factors of 144 are: 2^4 and 3^2 Prime factors common to both number are 2^2 and 3^2 which when multiplied equals 36 making it the HCF

The GCF is 42.

Get the prime factors of each number, group them all, and multiple all common, grouped prime factors together to get the highest common factor. 9 = 3 * 3 12 = 2 * 2 * 3 15 = 3 * 5 In this case, they all share one group of 3. So, the HCF is 3.

32 = 2^5 144 = 2^4 * 3^2 hcf (or rather, gcd) = 2^4 = 16

HCF of 3 means the numbers both have a prime factor of 3. LCM of 12 means that, between the numbers, there are factors of 2, 2 and 3. But these 2s cannot be shared, else the HCF would be greater. Therefore, the numbers will need to be 3 and 2x2x3, or 12.

You find the HCF of the two numbers, not their product. Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the HCF

hcf(14, 30) = 2 lcm(14, 30) = 210 14 = 2 x 7 30 = 2 x 3 x 5 hcf = 2 lcm = 2 x 3 x 5 x 7 = 210

3 and 30

3 and 30.

The answer is as follows:The prime factorisation of the two number is:18 = 2*3*324 = 2*2*2*3The HCF is the product every number which appears in both lists (repeated appearances mean repeated inclusion in HCF):HCF = 2*3 = 6

18 = 2 x 3 x 3 99 = 3 x 3 x 11 So hcf = 3 x 3 = 9

The HCF of 144 and 192 is 48. The LCM is 576.

HCF = 56 LCM = 8008 616 = 2^3 x 7 x 11 728 = 2^3 x 7 x 13 hcf = 2^3 x 7 = 56 lcm = 2^3 x 7 x 11 x 13 = 8008

hcf(16×27×49, 8×2725) = 8×27 = 216 Using prime factorisation: 16×27×49 = 2⁴ × 3³ × 7² 8×27×125 = 2³ × 3³ × 5³ → hcf = 2³ × 3³ = 8×27 = 216

HCF(10, 84) = 2 HCF(10, 84) = 2 HCF(10, 84) = 2 HCF(10, 84) = 2

List the prime factors of each. 18 = 2 x 3 x 3, 42 = 2 x 3 x 7 Common factors are 2 and 3 so HCF = 6.

686 = 2 x 343 1029 = 3 x 343 HCF is 343

3 and 12

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