Highest Common Factor of 559, 946, 411 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 559, 946, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 559, 946, 411 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 559, 946, 411 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 559, 946, 411 is 1.

HCF(559, 946, 411) = 1

HCF of 559, 946, 411 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 559, 946, 411 is 1.

Highest Common Factor of 559,946,411 using Euclid's algorithm

Highest Common Factor of 559,946,411 is 1

Step 1: Since 946 > 559, we apply the division lemma to 946 and 559, to get

946 = 559 x 1 + 387

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 387 and 559, to get

559 = 387 x 1 + 172

Step 3: We consider the new divisor 387 and the new remainder 172, and apply the division lemma to get

387 = 172 x 2 + 43

We consider the new divisor 172 and the new remainder 43, and apply the division lemma to get

172 = 43 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 559 and 946 is 43

Notice that 43 = HCF(172,43) = HCF(387,172) = HCF(559,387) = HCF(946,559) .

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

Step 1: Since 411 > 43, we apply the division lemma to 411 and 43, to get

411 = 43 x 9 + 24

Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 24 and 43, to get

43 = 24 x 1 + 19

Step 3: We consider the new divisor 24 and the new remainder 19, and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 43 and 411 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(411,43) .

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Frequently Asked Questions on HCF of 559, 946, 411 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 559, 946, 411?

Answer: HCF of 559, 946, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 559, 946, 411 using Euclid's Algorithm?

Answer: For arbitrary numbers 559, 946, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.