Highest Common Factor of 458, 695, 83 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, 695, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 458, 695, 83 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, 695, 83 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, 695, 83 is 1.

HCF(458, 695, 83) = 1

HCF of 458, 695, 83 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, 695, 83 is 1.

Highest Common Factor of 458,695,83 using Euclid's algorithm

Highest Common Factor of 458,695,83 is 1

Step 1: Since 695 > 458, we apply the division lemma to 695 and 458, to get

695 = 458 x 1 + 237

Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 237 and 458, to get

458 = 237 x 1 + 221

Step 3: We consider the new divisor 237 and the new remainder 221, and apply the division lemma to get

237 = 221 x 1 + 16

We consider the new divisor 221 and the new remainder 16,and apply the division lemma to get

221 = 16 x 13 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 458 and 695 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(221,16) = HCF(237,221) = HCF(458,237) = HCF(695,458) .

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

Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get

83 = 1 x 83 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1

Notice that 1 = HCF(83,1) .

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Frequently Asked Questions on HCF of 458, 695, 83 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, 695, 83?

Answer: HCF of 458, 695, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 458, 695, 83 using Euclid's Algorithm?

Answer: For arbitrary numbers 458, 695, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.