Question

2 HCF of 85 & 153 is expressible in the form
85m - 153, value of m (a)1(b)4 (c)3(d)2​

Answer 1

Answer:

2

Step-by-step explanation:

Let's find the HCF: the prime factors of 85 are {5, 17} and the prime factors of 153 are {3, 3, 17}. The only common prime is a single 17, so the Highest Common Factor is 17. We now express this, as the question states, as

Let's find the HCF: the prime factors of 85 are {5, 17} and the prime factors of 153 are {3, 3, 17}. The only common prime is a single 17, so the Highest Common Factor is 17. We now express this, as the question states, as17 = 85m-153

Let's find the HCF: the prime factors of 85 are {5, 17} and the prime factors of 153 are {3, 3, 17}. The only common prime is a single 17, so the Highest Common Factor is 17. We now express this, as the question states, as17 = 85m-15317+153 = 85m -153 + 153

Let's find the HCF: the prime factors of 85 are {5, 17} and the prime factors of 153 are {3, 3, 17}. The only common prime is a single 17, so the Highest Common Factor is 17. We now express this, as the question states, as17 = 85m-15317+153 = 85m -153 + 153170 = 85m

Let's find the HCF: the prime factors of 85 are {5, 17} and the prime factors of 153 are {3, 3, 17}. The only common prime is a single 17, so the Highest Common Factor is 17. We now express this, as the question states, as17 = 85m-15317+153 = 85m -153 + 153170 = 85m170/85 = 85m/85

m=2

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