Highest Common Factor of 5983, 1262 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 5983, 1262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5983, 1262 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 5983, 1262 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 5983, 1262 is 1.

HCF(5983, 1262) = 1

HCF of 5983, 1262 using Euclid's algorithm

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

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Highest common factor (HCF) of 5983, 1262 is 1.

Highest Common Factor of 5983,1262 using Euclid's algorithm

Highest Common Factor of 5983,1262 is 1

Step 1: Since 5983 > 1262, we apply the division lemma to 5983 and 1262, to get

5983 = 1262 x 4 + 935

Step 2: Since the reminder 1262 ≠ 0, we apply division lemma to 935 and 1262, to get

1262 = 935 x 1 + 327

Step 3: We consider the new divisor 935 and the new remainder 327, and apply the division lemma to get

935 = 327 x 2 + 281

We consider the new divisor 327 and the new remainder 281,and apply the division lemma to get

327 = 281 x 1 + 46

We consider the new divisor 281 and the new remainder 46,and apply the division lemma to get

281 = 46 x 6 + 5

We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get

46 = 5 x 9 + 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 5983 and 1262 is 1

Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(281,46) = HCF(327,281) = HCF(935,327) = HCF(1262,935) = HCF(5983,1262) .

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Frequently Asked Questions on HCF of 5983, 1262 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 5983, 1262?

Answer: HCF of 5983, 1262 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5983, 1262 using Euclid's Algorithm?

Answer: For arbitrary numbers 5983, 1262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.