Highest Common Factor of 5999, 3534 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 5999, 3534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5999, 3534 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 5999, 3534 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 5999, 3534 is 1.

HCF(5999, 3534) = 1

HCF of 5999, 3534 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 5999, 3534 is 1.

Highest Common Factor of 5999,3534 using Euclid's algorithm

Highest Common Factor of 5999,3534 is 1

Step 1: Since 5999 > 3534, we apply the division lemma to 5999 and 3534, to get

5999 = 3534 x 1 + 2465

Step 2: Since the reminder 3534 ≠ 0, we apply division lemma to 2465 and 3534, to get

3534 = 2465 x 1 + 1069

Step 3: We consider the new divisor 2465 and the new remainder 1069, and apply the division lemma to get

2465 = 1069 x 2 + 327

We consider the new divisor 1069 and the new remainder 327,and apply the division lemma to get

1069 = 327 x 3 + 88

We consider the new divisor 327 and the new remainder 88,and apply the division lemma to get

327 = 88 x 3 + 63

We consider the new divisor 88 and the new remainder 63,and apply the division lemma to get

88 = 63 x 1 + 25

We consider the new divisor 63 and the new remainder 25,and apply the division lemma to get

63 = 25 x 2 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5999 and 3534 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(63,25) = HCF(88,63) = HCF(327,88) = HCF(1069,327) = HCF(2465,1069) = HCF(3534,2465) = HCF(5999,3534) .

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Frequently Asked Questions on HCF of 5999, 3534 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 5999, 3534?

Answer: HCF of 5999, 3534 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5999, 3534 using Euclid's Algorithm?

Answer: For arbitrary numbers 5999, 3534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.