Highest Common Factor of 505, 466 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 505, 466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 505, 466 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 505, 466 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 505, 466 is 1.

HCF(505, 466) = 1

HCF of 505, 466 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 505, 466 is 1.

Highest Common Factor of 505,466 using Euclid's algorithm

Highest Common Factor of 505,466 is 1

Step 1: Since 505 > 466, we apply the division lemma to 505 and 466, to get

505 = 466 x 1 + 39

Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 39 and 466, to get

466 = 39 x 11 + 37

Step 3: We consider the new divisor 39 and the new remainder 37, and apply the division lemma to get

39 = 37 x 1 + 2

We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get

37 = 2 x 18 + 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 505 and 466 is 1

Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(39,37) = HCF(466,39) = HCF(505,466) .

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Frequently Asked Questions on HCF of 505, 466 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 505, 466?

Answer: HCF of 505, 466 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 505, 466 using Euclid's Algorithm?

Answer: For arbitrary numbers 505, 466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.