Highest Common Factor of 991, 5545 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 991, 5545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 991, 5545 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 991, 5545 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 991, 5545 is 1.

HCF(991, 5545) = 1

HCF of 991, 5545 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 991, 5545 is 1.

Highest Common Factor of 991,5545 using Euclid's algorithm

Highest Common Factor of 991,5545 is 1

Step 1: Since 5545 > 991, we apply the division lemma to 5545 and 991, to get

5545 = 991 x 5 + 590

Step 2: Since the reminder 991 ≠ 0, we apply division lemma to 590 and 991, to get

991 = 590 x 1 + 401

Step 3: We consider the new divisor 590 and the new remainder 401, and apply the division lemma to get

590 = 401 x 1 + 189

We consider the new divisor 401 and the new remainder 189,and apply the division lemma to get

401 = 189 x 2 + 23

We consider the new divisor 189 and the new remainder 23,and apply the division lemma to get

189 = 23 x 8 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 991 and 5545 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(189,23) = HCF(401,189) = HCF(590,401) = HCF(991,590) = HCF(5545,991) .

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Frequently Asked Questions on HCF of 991, 5545 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 991, 5545?

Answer: HCF of 991, 5545 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 991, 5545 using Euclid's Algorithm?

Answer: For arbitrary numbers 991, 5545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.