Highest Common Factor of 4192, 6653 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 4192, 6653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4192, 6653 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 4192, 6653 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 4192, 6653 is 1.

HCF(4192, 6653) = 1

HCF of 4192, 6653 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 4192, 6653 is 1.

Highest Common Factor of 4192,6653 using Euclid's algorithm

Highest Common Factor of 4192,6653 is 1

Step 1: Since 6653 > 4192, we apply the division lemma to 6653 and 4192, to get

6653 = 4192 x 1 + 2461

Step 2: Since the reminder 4192 ≠ 0, we apply division lemma to 2461 and 4192, to get

4192 = 2461 x 1 + 1731

Step 3: We consider the new divisor 2461 and the new remainder 1731, and apply the division lemma to get

2461 = 1731 x 1 + 730

We consider the new divisor 1731 and the new remainder 730,and apply the division lemma to get

1731 = 730 x 2 + 271

We consider the new divisor 730 and the new remainder 271,and apply the division lemma to get

730 = 271 x 2 + 188

We consider the new divisor 271 and the new remainder 188,and apply the division lemma to get

271 = 188 x 1 + 83

We consider the new divisor 188 and the new remainder 83,and apply the division lemma to get

188 = 83 x 2 + 22

We consider the new divisor 83 and the new remainder 22,and apply the division lemma to get

83 = 22 x 3 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4192 and 6653 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(83,22) = HCF(188,83) = HCF(271,188) = HCF(730,271) = HCF(1731,730) = HCF(2461,1731) = HCF(4192,2461) = HCF(6653,4192) .

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Frequently Asked Questions on HCF of 4192, 6653 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 4192, 6653?

Answer: HCF of 4192, 6653 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4192, 6653 using Euclid's Algorithm?

Answer: For arbitrary numbers 4192, 6653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.