Highest Common Factor of 7693, 5028, 83616 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 7693, 5028, 83616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7693, 5028, 83616 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 7693, 5028, 83616 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 7693, 5028, 83616 is 1.

HCF(7693, 5028, 83616) = 1

HCF of 7693, 5028, 83616 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 7693, 5028, 83616 is 1.

Highest Common Factor of 7693,5028,83616 using Euclid's algorithm

Highest Common Factor of 7693,5028,83616 is 1

Step 1: Since 7693 > 5028, we apply the division lemma to 7693 and 5028, to get

7693 = 5028 x 1 + 2665

Step 2: Since the reminder 5028 ≠ 0, we apply division lemma to 2665 and 5028, to get

5028 = 2665 x 1 + 2363

Step 3: We consider the new divisor 2665 and the new remainder 2363, and apply the division lemma to get

2665 = 2363 x 1 + 302

We consider the new divisor 2363 and the new remainder 302,and apply the division lemma to get

2363 = 302 x 7 + 249

We consider the new divisor 302 and the new remainder 249,and apply the division lemma to get

302 = 249 x 1 + 53

We consider the new divisor 249 and the new remainder 53,and apply the division lemma to get

249 = 53 x 4 + 37

We consider the new divisor 53 and the new remainder 37,and apply the division lemma to get

53 = 37 x 1 + 16

We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get

37 = 16 x 2 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7693 and 5028 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(53,37) = HCF(249,53) = HCF(302,249) = HCF(2363,302) = HCF(2665,2363) = HCF(5028,2665) = HCF(7693,5028) .

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

Step 1: Since 83616 > 1, we apply the division lemma to 83616 and 1, to get

83616 = 1 x 83616 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83616 is 1

Notice that 1 = HCF(83616,1) .

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Frequently Asked Questions on HCF of 7693, 5028, 83616 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 7693, 5028, 83616?

Answer: HCF of 7693, 5028, 83616 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7693, 5028, 83616 using Euclid's Algorithm?

Answer: For arbitrary numbers 7693, 5028, 83616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.