Highest Common Factor of 3432, 5605 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 3432, 5605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3432, 5605 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 3432, 5605 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 3432, 5605 is 1.

HCF(3432, 5605) = 1

HCF of 3432, 5605 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 3432, 5605 is 1.

Highest Common Factor of 3432,5605 using Euclid's algorithm

Highest Common Factor of 3432,5605 is 1

Step 1: Since 5605 > 3432, we apply the division lemma to 5605 and 3432, to get

5605 = 3432 x 1 + 2173

Step 2: Since the reminder 3432 ≠ 0, we apply division lemma to 2173 and 3432, to get

3432 = 2173 x 1 + 1259

Step 3: We consider the new divisor 2173 and the new remainder 1259, and apply the division lemma to get

2173 = 1259 x 1 + 914

We consider the new divisor 1259 and the new remainder 914,and apply the division lemma to get

1259 = 914 x 1 + 345

We consider the new divisor 914 and the new remainder 345,and apply the division lemma to get

914 = 345 x 2 + 224

We consider the new divisor 345 and the new remainder 224,and apply the division lemma to get

345 = 224 x 1 + 121

We consider the new divisor 224 and the new remainder 121,and apply the division lemma to get

224 = 121 x 1 + 103

We consider the new divisor 121 and the new remainder 103,and apply the division lemma to get

121 = 103 x 1 + 18

We consider the new divisor 103 and the new remainder 18,and apply the division lemma to get

103 = 18 x 5 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3432 and 5605 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(103,18) = HCF(121,103) = HCF(224,121) = HCF(345,224) = HCF(914,345) = HCF(1259,914) = HCF(2173,1259) = HCF(3432,2173) = HCF(5605,3432) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 3432, 5605 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 3432, 5605?

Answer: HCF of 3432, 5605 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3432, 5605 using Euclid's Algorithm?

Answer: For arbitrary numbers 3432, 5605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.