Highest Common Factor of 594, 934, 405 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 594, 934, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 594, 934, 405 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 594, 934, 405 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 594, 934, 405 is 1.

HCF(594, 934, 405) = 1

HCF of 594, 934, 405 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 594, 934, 405 is 1.

Highest Common Factor of 594,934,405 using Euclid's algorithm

Highest Common Factor of 594,934,405 is 1

Step 1: Since 934 > 594, we apply the division lemma to 934 and 594, to get

934 = 594 x 1 + 340

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 340 and 594, to get

594 = 340 x 1 + 254

Step 3: We consider the new divisor 340 and the new remainder 254, and apply the division lemma to get

340 = 254 x 1 + 86

We consider the new divisor 254 and the new remainder 86,and apply the division lemma to get

254 = 86 x 2 + 82

We consider the new divisor 86 and the new remainder 82,and apply the division lemma to get

86 = 82 x 1 + 4

We consider the new divisor 82 and the new remainder 4,and apply the division lemma to get

82 = 4 x 20 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 594 and 934 is 2

Notice that 2 = HCF(4,2) = HCF(82,4) = HCF(86,82) = HCF(254,86) = HCF(340,254) = HCF(594,340) = HCF(934,594) .

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

Step 1: Since 405 > 2, we apply the division lemma to 405 and 2, to get

405 = 2 x 202 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 405 is 1

Notice that 1 = HCF(2,1) = HCF(405,2) .

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Frequently Asked Questions on HCF of 594, 934, 405 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 594, 934, 405?

Answer: HCF of 594, 934, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 594, 934, 405 using Euclid's Algorithm?

Answer: For arbitrary numbers 594, 934, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.