Highest Common Factor of 4999, 8584 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 4999, 8584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4999, 8584 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 4999, 8584 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 4999, 8584 is 1.

HCF(4999, 8584) = 1

HCF of 4999, 8584 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 4999, 8584 is 1.

Highest Common Factor of 4999,8584 using Euclid's algorithm

Highest Common Factor of 4999,8584 is 1

Step 1: Since 8584 > 4999, we apply the division lemma to 8584 and 4999, to get

8584 = 4999 x 1 + 3585

Step 2: Since the reminder 4999 ≠ 0, we apply division lemma to 3585 and 4999, to get

4999 = 3585 x 1 + 1414

Step 3: We consider the new divisor 3585 and the new remainder 1414, and apply the division lemma to get

3585 = 1414 x 2 + 757

We consider the new divisor 1414 and the new remainder 757,and apply the division lemma to get

1414 = 757 x 1 + 657

We consider the new divisor 757 and the new remainder 657,and apply the division lemma to get

757 = 657 x 1 + 100

We consider the new divisor 657 and the new remainder 100,and apply the division lemma to get

657 = 100 x 6 + 57

We consider the new divisor 100 and the new remainder 57,and apply the division lemma to get

100 = 57 x 1 + 43

We consider the new divisor 57 and the new remainder 43,and apply the division lemma to get

57 = 43 x 1 + 14

We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get

43 = 14 x 3 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4999 and 8584 is 1

Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(57,43) = HCF(100,57) = HCF(657,100) = HCF(757,657) = HCF(1414,757) = HCF(3585,1414) = HCF(4999,3585) = HCF(8584,4999) .

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Frequently Asked Questions on HCF of 4999, 8584 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 4999, 8584?

Answer: HCF of 4999, 8584 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4999, 8584 using Euclid's Algorithm?

Answer: For arbitrary numbers 4999, 8584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.