Highest Common Factor of 499, 266 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, 266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 266 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, 266 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, 266 is 1.

HCF(499, 266) = 1

HCF of 499, 266 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 499, 266 is 1.

Highest Common Factor of 499,266 using Euclid's algorithm

Highest Common Factor of 499,266 is 1

Step 1: Since 499 > 266, we apply the division lemma to 499 and 266, to get

499 = 266 x 1 + 233

Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 233 and 266, to get

266 = 233 x 1 + 33

Step 3: We consider the new divisor 233 and the new remainder 33, and apply the division lemma to get

233 = 33 x 7 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 499 and 266 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(233,33) = HCF(266,233) = HCF(499,266) .

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Frequently Asked Questions on HCF of 499, 266 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, 266?

Answer: HCF of 499, 266 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 266 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.