Highest Common Factor of 284, 999 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 284, 999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 284, 999 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 284, 999 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 284, 999 is 1.

HCF(284, 999) = 1

HCF of 284, 999 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 284, 999 is 1.

Highest Common Factor of 284,999 using Euclid's algorithm

Highest Common Factor of 284,999 is 1

Step 1: Since 999 > 284, we apply the division lemma to 999 and 284, to get

999 = 284 x 3 + 147

Step 2: Since the reminder 284 ≠ 0, we apply division lemma to 147 and 284, to get

284 = 147 x 1 + 137

Step 3: We consider the new divisor 147 and the new remainder 137, and apply the division lemma to get

147 = 137 x 1 + 10

We consider the new divisor 137 and the new remainder 10,and apply the division lemma to get

137 = 10 x 13 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 284 and 999 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(137,10) = HCF(147,137) = HCF(284,147) = HCF(999,284) .

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Frequently Asked Questions on HCF of 284, 999 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 284, 999?

Answer: HCF of 284, 999 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 284, 999 using Euclid's Algorithm?

Answer: For arbitrary numbers 284, 999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.