Highest Common Factor of 455, 176 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 455, 176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 455, 176 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 455, 176 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 455, 176 is 1.

HCF(455, 176) = 1

HCF of 455, 176 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 455, 176 is 1.

Highest Common Factor of 455,176 using Euclid's algorithm

Highest Common Factor of 455,176 is 1

Step 1: Since 455 > 176, we apply the division lemma to 455 and 176, to get

455 = 176 x 2 + 103

Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 103 and 176, to get

176 = 103 x 1 + 73

Step 3: We consider the new divisor 103 and the new remainder 73, and apply the division lemma to get

103 = 73 x 1 + 30

We consider the new divisor 73 and the new remainder 30,and apply the division lemma to get

73 = 30 x 2 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 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 455 and 176 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(73,30) = HCF(103,73) = HCF(176,103) = HCF(455,176) .

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Frequently Asked Questions on HCF of 455, 176 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 455, 176?

Answer: HCF of 455, 176 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 455, 176 using Euclid's Algorithm?

Answer: For arbitrary numbers 455, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.