Highest Common Factor of 469, 296, 632 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 469, 296, 632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 469, 296, 632 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 469, 296, 632 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 469, 296, 632 is 1.

HCF(469, 296, 632) = 1

HCF of 469, 296, 632 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 469, 296, 632 is 1.

Highest Common Factor of 469,296,632 using Euclid's algorithm

Highest Common Factor of 469,296,632 is 1

Step 1: Since 469 > 296, we apply the division lemma to 469 and 296, to get

469 = 296 x 1 + 173

Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 173 and 296, to get

296 = 173 x 1 + 123

Step 3: We consider the new divisor 173 and the new remainder 123, and apply the division lemma to get

173 = 123 x 1 + 50

We consider the new divisor 123 and the new remainder 50,and apply the division lemma to get

123 = 50 x 2 + 23

We consider the new divisor 50 and the new remainder 23,and apply the division lemma to get

50 = 23 x 2 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 469 and 296 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(50,23) = HCF(123,50) = HCF(173,123) = HCF(296,173) = HCF(469,296) .

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

Step 1: Since 632 > 1, we apply the division lemma to 632 and 1, to get

632 = 1 x 632 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 632 is 1

Notice that 1 = HCF(632,1) .

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Frequently Asked Questions on HCF of 469, 296, 632 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 469, 296, 632?

Answer: HCF of 469, 296, 632 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 469, 296, 632 using Euclid's Algorithm?

Answer: For arbitrary numbers 469, 296, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.