Highest Common Factor of 693, 412, 549, 203 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 693, 412, 549, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 693, 412, 549, 203 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 693, 412, 549, 203 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 693, 412, 549, 203 is 1.

HCF(693, 412, 549, 203) = 1

HCF of 693, 412, 549, 203 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 693, 412, 549, 203 is 1.

Highest Common Factor of 693,412,549,203 using Euclid's algorithm

Highest Common Factor of 693,412,549,203 is 1

Step 1: Since 693 > 412, we apply the division lemma to 693 and 412, to get

693 = 412 x 1 + 281

Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 281 and 412, to get

412 = 281 x 1 + 131

Step 3: We consider the new divisor 281 and the new remainder 131, and apply the division lemma to get

281 = 131 x 2 + 19

We consider the new divisor 131 and the new remainder 19,and apply the division lemma to get

131 = 19 x 6 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 693 and 412 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(131,19) = HCF(281,131) = HCF(412,281) = HCF(693,412) .

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

Step 1: Since 549 > 1, we apply the division lemma to 549 and 1, to get

549 = 1 x 549 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 549 is 1

Notice that 1 = HCF(549,1) .

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

Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get

203 = 1 x 203 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1

Notice that 1 = HCF(203,1) .

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Frequently Asked Questions on HCF of 693, 412, 549, 203 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 693, 412, 549, 203?

Answer: HCF of 693, 412, 549, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 693, 412, 549, 203 using Euclid's Algorithm?

Answer: For arbitrary numbers 693, 412, 549, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.