Highest Common Factor of 621, 432, 905 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 621, 432, 905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 432, 905 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 621, 432, 905 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 621, 432, 905 is 1.

HCF(621, 432, 905) = 1

HCF of 621, 432, 905 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 621, 432, 905 is 1.

Highest Common Factor of 621,432,905 using Euclid's algorithm

Highest Common Factor of 621,432,905 is 1

Step 1: Since 621 > 432, we apply the division lemma to 621 and 432, to get

621 = 432 x 1 + 189

Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 189 and 432, to get

432 = 189 x 2 + 54

Step 3: We consider the new divisor 189 and the new remainder 54, and apply the division lemma to get

189 = 54 x 3 + 27

We consider the new divisor 54 and the new remainder 27, and apply the division lemma to get

54 = 27 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 621 and 432 is 27

Notice that 27 = HCF(54,27) = HCF(189,54) = HCF(432,189) = HCF(621,432) .

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

Step 1: Since 905 > 27, we apply the division lemma to 905 and 27, to get

905 = 27 x 33 + 14

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 14 and 27, to get

27 = 14 x 1 + 13

Step 3: We consider the new divisor 14 and the new remainder 13, and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1, and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 27 and 905 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(905,27) .

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Frequently Asked Questions on HCF of 621, 432, 905 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 621, 432, 905?

Answer: HCF of 621, 432, 905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 432, 905 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 432, 905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.