Highest Common Factor of 593, 7545 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 593, 7545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 7545 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 593, 7545 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 593, 7545 is 1.

HCF(593, 7545) = 1

HCF of 593, 7545 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 593, 7545 is 1.

Highest Common Factor of 593,7545 using Euclid's algorithm

Highest Common Factor of 593,7545 is 1

Step 1: Since 7545 > 593, we apply the division lemma to 7545 and 593, to get

7545 = 593 x 12 + 429

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 429 and 593, to get

593 = 429 x 1 + 164

Step 3: We consider the new divisor 429 and the new remainder 164, and apply the division lemma to get

429 = 164 x 2 + 101

We consider the new divisor 164 and the new remainder 101,and apply the division lemma to get

164 = 101 x 1 + 63

We consider the new divisor 101 and the new remainder 63,and apply the division lemma to get

101 = 63 x 1 + 38

We consider the new divisor 63 and the new remainder 38,and apply the division lemma to get

63 = 38 x 1 + 25

We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get

38 = 25 x 1 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 7545 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(63,38) = HCF(101,63) = HCF(164,101) = HCF(429,164) = HCF(593,429) = HCF(7545,593) .

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Frequently Asked Questions on HCF of 593, 7545 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 593, 7545?

Answer: HCF of 593, 7545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 7545 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 7545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.