Highest Common Factor of 499, 639 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, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 639 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, 639 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, 639 is 1.

HCF(499, 639) = 1

HCF of 499, 639 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, 639 is 1.

Highest Common Factor of 499,639 using Euclid's algorithm

Highest Common Factor of 499,639 is 1

Step 1: Since 639 > 499, we apply the division lemma to 639 and 499, to get

639 = 499 x 1 + 140

Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 140 and 499, to get

499 = 140 x 3 + 79

Step 3: We consider the new divisor 140 and the new remainder 79, and apply the division lemma to get

140 = 79 x 1 + 61

We consider the new divisor 79 and the new remainder 61,and apply the division lemma to get

79 = 61 x 1 + 18

We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get

61 = 18 x 3 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 499 and 639 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(79,61) = HCF(140,79) = HCF(499,140) = HCF(639,499) .

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Frequently Asked Questions on HCF of 499, 639 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, 639?

Answer: HCF of 499, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 639 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.