Highest Common Factor of 5534, 7591 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 5534, 7591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5534, 7591 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 5534, 7591 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 5534, 7591 is 1.

HCF(5534, 7591) = 1

HCF of 5534, 7591 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 5534, 7591 is 1.

Highest Common Factor of 5534,7591 using Euclid's algorithm

Highest Common Factor of 5534,7591 is 1

Step 1: Since 7591 > 5534, we apply the division lemma to 7591 and 5534, to get

7591 = 5534 x 1 + 2057

Step 2: Since the reminder 5534 ≠ 0, we apply division lemma to 2057 and 5534, to get

5534 = 2057 x 2 + 1420

Step 3: We consider the new divisor 2057 and the new remainder 1420, and apply the division lemma to get

2057 = 1420 x 1 + 637

We consider the new divisor 1420 and the new remainder 637,and apply the division lemma to get

1420 = 637 x 2 + 146

We consider the new divisor 637 and the new remainder 146,and apply the division lemma to get

637 = 146 x 4 + 53

We consider the new divisor 146 and the new remainder 53,and apply the division lemma to get

146 = 53 x 2 + 40

We consider the new divisor 53 and the new remainder 40,and apply the division lemma to get

53 = 40 x 1 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5534 and 7591 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(53,40) = HCF(146,53) = HCF(637,146) = HCF(1420,637) = HCF(2057,1420) = HCF(5534,2057) = HCF(7591,5534) .

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Frequently Asked Questions on HCF of 5534, 7591 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 5534, 7591?

Answer: HCF of 5534, 7591 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5534, 7591 using Euclid's Algorithm?

Answer: For arbitrary numbers 5534, 7591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.