Highest Common Factor of 5349, 4196 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 5349, 4196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5349, 4196 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 5349, 4196 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 5349, 4196 is 1.

HCF(5349, 4196) = 1

HCF of 5349, 4196 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 5349, 4196 is 1.

Highest Common Factor of 5349,4196 using Euclid's algorithm

Highest Common Factor of 5349,4196 is 1

Step 1: Since 5349 > 4196, we apply the division lemma to 5349 and 4196, to get

5349 = 4196 x 1 + 1153

Step 2: Since the reminder 4196 ≠ 0, we apply division lemma to 1153 and 4196, to get

4196 = 1153 x 3 + 737

Step 3: We consider the new divisor 1153 and the new remainder 737, and apply the division lemma to get

1153 = 737 x 1 + 416

We consider the new divisor 737 and the new remainder 416,and apply the division lemma to get

737 = 416 x 1 + 321

We consider the new divisor 416 and the new remainder 321,and apply the division lemma to get

416 = 321 x 1 + 95

We consider the new divisor 321 and the new remainder 95,and apply the division lemma to get

321 = 95 x 3 + 36

We consider the new divisor 95 and the new remainder 36,and apply the division lemma to get

95 = 36 x 2 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5349 and 4196 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(95,36) = HCF(321,95) = HCF(416,321) = HCF(737,416) = HCF(1153,737) = HCF(4196,1153) = HCF(5349,4196) .

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Frequently Asked Questions on HCF of 5349, 4196 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 5349, 4196?

Answer: HCF of 5349, 4196 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5349, 4196 using Euclid's Algorithm?

Answer: For arbitrary numbers 5349, 4196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.