Highest Common Factor of 2529, 5603 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 2529, 5603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2529, 5603 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 2529, 5603 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 2529, 5603 is 1.

HCF(2529, 5603) = 1

HCF of 2529, 5603 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 2529, 5603 is 1.

Highest Common Factor of 2529,5603 using Euclid's algorithm

Highest Common Factor of 2529,5603 is 1

Step 1: Since 5603 > 2529, we apply the division lemma to 5603 and 2529, to get

5603 = 2529 x 2 + 545

Step 2: Since the reminder 2529 ≠ 0, we apply division lemma to 545 and 2529, to get

2529 = 545 x 4 + 349

Step 3: We consider the new divisor 545 and the new remainder 349, and apply the division lemma to get

545 = 349 x 1 + 196

We consider the new divisor 349 and the new remainder 196,and apply the division lemma to get

349 = 196 x 1 + 153

We consider the new divisor 196 and the new remainder 153,and apply the division lemma to get

196 = 153 x 1 + 43

We consider the new divisor 153 and the new remainder 43,and apply the division lemma to get

153 = 43 x 3 + 24

We consider the new divisor 43 and the new remainder 24,and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 2529 and 5603 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(153,43) = HCF(196,153) = HCF(349,196) = HCF(545,349) = HCF(2529,545) = HCF(5603,2529) .

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Frequently Asked Questions on HCF of 2529, 5603 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 2529, 5603?

Answer: HCF of 2529, 5603 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2529, 5603 using Euclid's Algorithm?

Answer: For arbitrary numbers 2529, 5603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.