Highest Common Factor of 455, 488, 168 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, 488, 168 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 455, 488, 168 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, 488, 168 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, 488, 168 is 1.

HCF(455, 488, 168) = 1

HCF of 455, 488, 168 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 455, 488, 168 is 1.

Highest Common Factor of 455,488,168 using Euclid's algorithm

Highest Common Factor of 455,488,168 is 1

Step 1: Since 488 > 455, we apply the division lemma to 488 and 455, to get

488 = 455 x 1 + 33

Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 33 and 455, to get

455 = 33 x 13 + 26

Step 3: We consider the new divisor 33 and the new remainder 26, and apply the division lemma to get

33 = 26 x 1 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 455 and 488 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(455,33) = HCF(488,455) .

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

Step 1: Since 168 > 1, we apply the division lemma to 168 and 1, to get

168 = 1 x 168 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 168 is 1

Notice that 1 = HCF(168,1) .

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Frequently Asked Questions on HCF of 455, 488, 168 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, 488, 168?

Answer: HCF of 455, 488, 168 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 455, 488, 168 using Euclid's Algorithm?

Answer: For arbitrary numbers 455, 488, 168 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.