Highest Common Factor of 499, 59687 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 499, 59687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 59687 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 499, 59687 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 499, 59687 is 1.

HCF(499, 59687) = 1

HCF of 499, 59687 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 499, 59687 is 1.

Highest Common Factor of 499,59687 using Euclid's algorithm

Highest Common Factor of 499,59687 is 1

Step 1: Since 59687 > 499, we apply the division lemma to 59687 and 499, to get

59687 = 499 x 119 + 306

Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 306 and 499, to get

499 = 306 x 1 + 193

Step 3: We consider the new divisor 306 and the new remainder 193, and apply the division lemma to get

306 = 193 x 1 + 113

We consider the new divisor 193 and the new remainder 113,and apply the division lemma to get

193 = 113 x 1 + 80

We consider the new divisor 113 and the new remainder 80,and apply the division lemma to get

113 = 80 x 1 + 33

We consider the new divisor 80 and the new remainder 33,and apply the division lemma to get

80 = 33 x 2 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 499 and 59687 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(80,33) = HCF(113,80) = HCF(193,113) = HCF(306,193) = HCF(499,306) = HCF(59687,499) .

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Frequently Asked Questions on HCF of 499, 59687 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 499, 59687?

Answer: HCF of 499, 59687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 59687 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 59687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.