Highest Common Factor of 458, 809, 423, 158 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 458, 809, 423, 158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 458, 809, 423, 158 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 458, 809, 423, 158 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 458, 809, 423, 158 is 1.

HCF(458, 809, 423, 158) = 1

HCF of 458, 809, 423, 158 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 458, 809, 423, 158 is 1.

Highest Common Factor of 458,809,423,158 using Euclid's algorithm

Highest Common Factor of 458,809,423,158 is 1

Step 1: Since 809 > 458, we apply the division lemma to 809 and 458, to get

809 = 458 x 1 + 351

Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 351 and 458, to get

458 = 351 x 1 + 107

Step 3: We consider the new divisor 351 and the new remainder 107, and apply the division lemma to get

351 = 107 x 3 + 30

We consider the new divisor 107 and the new remainder 30,and apply the division lemma to get

107 = 30 x 3 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 458 and 809 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(107,30) = HCF(351,107) = HCF(458,351) = HCF(809,458) .

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

Step 1: Since 423 > 1, we apply the division lemma to 423 and 1, to get

423 = 1 x 423 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 423 is 1

Notice that 1 = HCF(423,1) .

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

Step 1: Since 158 > 1, we apply the division lemma to 158 and 1, to get

158 = 1 x 158 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 158 is 1

Notice that 1 = HCF(158,1) .

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Frequently Asked Questions on HCF of 458, 809, 423, 158 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 458, 809, 423, 158?

Answer: HCF of 458, 809, 423, 158 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 458, 809, 423, 158 using Euclid's Algorithm?

Answer: For arbitrary numbers 458, 809, 423, 158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.