Highest Common Factor of 4036, 5443 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 4036, 5443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4036, 5443 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 4036, 5443 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 4036, 5443 is 1.

HCF(4036, 5443) = 1

HCF of 4036, 5443 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 4036, 5443 is 1.

Highest Common Factor of 4036,5443 using Euclid's algorithm

Highest Common Factor of 4036,5443 is 1

Step 1: Since 5443 > 4036, we apply the division lemma to 5443 and 4036, to get

5443 = 4036 x 1 + 1407

Step 2: Since the reminder 4036 ≠ 0, we apply division lemma to 1407 and 4036, to get

4036 = 1407 x 2 + 1222

Step 3: We consider the new divisor 1407 and the new remainder 1222, and apply the division lemma to get

1407 = 1222 x 1 + 185

We consider the new divisor 1222 and the new remainder 185,and apply the division lemma to get

1222 = 185 x 6 + 112

We consider the new divisor 185 and the new remainder 112,and apply the division lemma to get

185 = 112 x 1 + 73

We consider the new divisor 112 and the new remainder 73,and apply the division lemma to get

112 = 73 x 1 + 39

We consider the new divisor 73 and the new remainder 39,and apply the division lemma to get

73 = 39 x 1 + 34

We consider the new divisor 39 and the new remainder 34,and apply the division lemma to get

39 = 34 x 1 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4036 and 5443 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(39,34) = HCF(73,39) = HCF(112,73) = HCF(185,112) = HCF(1222,185) = HCF(1407,1222) = HCF(4036,1407) = HCF(5443,4036) .

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Frequently Asked Questions on HCF of 4036, 5443 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 4036, 5443?

Answer: HCF of 4036, 5443 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4036, 5443 using Euclid's Algorithm?

Answer: For arbitrary numbers 4036, 5443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.