Highest Common Factor of 5693, 2094, 67255 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 5693, 2094, 67255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5693, 2094, 67255 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 5693, 2094, 67255 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 5693, 2094, 67255 is 1.

HCF(5693, 2094, 67255) = 1

HCF of 5693, 2094, 67255 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 5693, 2094, 67255 is 1.

Highest Common Factor of 5693,2094,67255 using Euclid's algorithm

Highest Common Factor of 5693,2094,67255 is 1

Step 1: Since 5693 > 2094, we apply the division lemma to 5693 and 2094, to get

5693 = 2094 x 2 + 1505

Step 2: Since the reminder 2094 ≠ 0, we apply division lemma to 1505 and 2094, to get

2094 = 1505 x 1 + 589

Step 3: We consider the new divisor 1505 and the new remainder 589, and apply the division lemma to get

1505 = 589 x 2 + 327

We consider the new divisor 589 and the new remainder 327,and apply the division lemma to get

589 = 327 x 1 + 262

We consider the new divisor 327 and the new remainder 262,and apply the division lemma to get

327 = 262 x 1 + 65

We consider the new divisor 262 and the new remainder 65,and apply the division lemma to get

262 = 65 x 4 + 2

We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get

65 = 2 x 32 + 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 5693 and 2094 is 1

Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(262,65) = HCF(327,262) = HCF(589,327) = HCF(1505,589) = HCF(2094,1505) = HCF(5693,2094) .

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

Step 1: Since 67255 > 1, we apply the division lemma to 67255 and 1, to get

67255 = 1 x 67255 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67255 is 1

Notice that 1 = HCF(67255,1) .

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Frequently Asked Questions on HCF of 5693, 2094, 67255 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 5693, 2094, 67255?

Answer: HCF of 5693, 2094, 67255 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5693, 2094, 67255 using Euclid's Algorithm?

Answer: For arbitrary numbers 5693, 2094, 67255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.