Highest Common Factor of 499, 711, 229 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, 711, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 711, 229 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, 711, 229 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, 711, 229 is 1.

HCF(499, 711, 229) = 1

HCF of 499, 711, 229 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, 711, 229 is 1.

Highest Common Factor of 499,711,229 using Euclid's algorithm

Highest Common Factor of 499,711,229 is 1

Step 1: Since 711 > 499, we apply the division lemma to 711 and 499, to get

711 = 499 x 1 + 212

Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 212 and 499, to get

499 = 212 x 2 + 75

Step 3: We consider the new divisor 212 and the new remainder 75, and apply the division lemma to get

212 = 75 x 2 + 62

We consider the new divisor 75 and the new remainder 62,and apply the division lemma to get

75 = 62 x 1 + 13

We consider the new divisor 62 and the new remainder 13,and apply the division lemma to get

62 = 13 x 4 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 711 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(62,13) = HCF(75,62) = HCF(212,75) = HCF(499,212) = HCF(711,499) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 229 > 1, we apply the division lemma to 229 and 1, to get

229 = 1 x 229 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 229 is 1

Notice that 1 = HCF(229,1) .

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Frequently Asked Questions on HCF of 499, 711, 229 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, 711, 229?

Answer: HCF of 499, 711, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 711, 229 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 711, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.