Highest Common Factor of 464, 281 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 464, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 464, 281 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 464, 281 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 464, 281 is 1.

HCF(464, 281) = 1

HCF of 464, 281 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 464, 281 is 1.

Highest Common Factor of 464,281 using Euclid's algorithm

Highest Common Factor of 464,281 is 1

Step 1: Since 464 > 281, we apply the division lemma to 464 and 281, to get

464 = 281 x 1 + 183

Step 2: Since the reminder 281 ≠ 0, we apply division lemma to 183 and 281, to get

281 = 183 x 1 + 98

Step 3: We consider the new divisor 183 and the new remainder 98, and apply the division lemma to get

183 = 98 x 1 + 85

We consider the new divisor 98 and the new remainder 85,and apply the division lemma to get

98 = 85 x 1 + 13

We consider the new divisor 85 and the new remainder 13,and apply the division lemma to get

85 = 13 x 6 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 464 and 281 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(85,13) = HCF(98,85) = HCF(183,98) = HCF(281,183) = HCF(464,281) .

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Frequently Asked Questions on HCF of 464, 281 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 464, 281?

Answer: HCF of 464, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 464, 281 using Euclid's Algorithm?

Answer: For arbitrary numbers 464, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.