Highest Common Factor of 5663, 3435, 40532 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 5663, 3435, 40532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5663, 3435, 40532 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 5663, 3435, 40532 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 5663, 3435, 40532 is 1.

HCF(5663, 3435, 40532) = 1

HCF of 5663, 3435, 40532 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 5663, 3435, 40532 is 1.

Highest Common Factor of 5663,3435,40532 using Euclid's algorithm

Highest Common Factor of 5663,3435,40532 is 1

Step 1: Since 5663 > 3435, we apply the division lemma to 5663 and 3435, to get

5663 = 3435 x 1 + 2228

Step 2: Since the reminder 3435 ≠ 0, we apply division lemma to 2228 and 3435, to get

3435 = 2228 x 1 + 1207

Step 3: We consider the new divisor 2228 and the new remainder 1207, and apply the division lemma to get

2228 = 1207 x 1 + 1021

We consider the new divisor 1207 and the new remainder 1021,and apply the division lemma to get

1207 = 1021 x 1 + 186

We consider the new divisor 1021 and the new remainder 186,and apply the division lemma to get

1021 = 186 x 5 + 91

We consider the new divisor 186 and the new remainder 91,and apply the division lemma to get

186 = 91 x 2 + 4

We consider the new divisor 91 and the new remainder 4,and apply the division lemma to get

91 = 4 x 22 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5663 and 3435 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(91,4) = HCF(186,91) = HCF(1021,186) = HCF(1207,1021) = HCF(2228,1207) = HCF(3435,2228) = HCF(5663,3435) .

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

Step 1: Since 40532 > 1, we apply the division lemma to 40532 and 1, to get

40532 = 1 x 40532 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40532 is 1

Notice that 1 = HCF(40532,1) .

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Frequently Asked Questions on HCF of 5663, 3435, 40532 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 5663, 3435, 40532?

Answer: HCF of 5663, 3435, 40532 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5663, 3435, 40532 using Euclid's Algorithm?

Answer: For arbitrary numbers 5663, 3435, 40532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.