Highest Common Factor of 999, 551, 282 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 999, 551, 282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 999, 551, 282 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 999, 551, 282 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 999, 551, 282 is 1.

HCF(999, 551, 282) = 1

HCF of 999, 551, 282 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 999, 551, 282 is 1.

Highest Common Factor of 999,551,282 using Euclid's algorithm

Highest Common Factor of 999,551,282 is 1

Step 1: Since 999 > 551, we apply the division lemma to 999 and 551, to get

999 = 551 x 1 + 448

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 448 and 551, to get

551 = 448 x 1 + 103

Step 3: We consider the new divisor 448 and the new remainder 103, and apply the division lemma to get

448 = 103 x 4 + 36

We consider the new divisor 103 and the new remainder 36,and apply the division lemma to get

103 = 36 x 2 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 551 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(103,36) = HCF(448,103) = HCF(551,448) = HCF(999,551) .

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

Step 1: Since 282 > 1, we apply the division lemma to 282 and 1, to get

282 = 1 x 282 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 282 is 1

Notice that 1 = HCF(282,1) .

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Frequently Asked Questions on HCF of 999, 551, 282 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 999, 551, 282?

Answer: HCF of 999, 551, 282 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 999, 551, 282 using Euclid's Algorithm?

Answer: For arbitrary numbers 999, 551, 282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.