Question

i) Find HCF of 445 and 700 by euclid method.​

Answer 1

Answer:

Step 1: Since 445 > 2, we apply the division lemma to 445 and 2, to get

445 = 2 x 222 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 445 is 1

Notice that 1 = HCF(2,1) = HCF(445,2) .

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HCF of 2, 445, 700 using Euclid's algorithm

HCF of 2, 445, 700 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 1 the largest factor that exactly divides the numbers with r=0.

Highest common factor (HCF) of 2, 445, 700 is 1.

HCF(2, 445, 700) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

HCF of

HCF of

2, 445, 700

Determining HCF of Numbers 2,445,700 by Euclid's Division Lemma

Below detailed show work will make you learn how to find HCF of 2,445,700 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(2,445,700).

Here 445 is greater than 2

Now, consider the largest number as 'a' from the given number ie., 445 and 2 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 445 > 2, we apply the division lemma to 445 and 2, to get

445 = 2 x 222 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 445 is 1

Notice that 1 = HCF(2,1) = HCF(445,2) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Here 700 is greater than 1

Now, consider the largest number as 'a' from the given number ie., 700 and 1 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b

Step 1: Since 700 > 1, we apply the division lemma to 700 and 1, to get

700 = 1 x 700 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 700 is 1

Notice that 1 = HCF(700,1) .

Therefore, HCF of 2,445,700 using Euclid's division lemma is 1.

Step-by-step explanation:

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